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Finding the Fourth Proportional to 11,497,901.48, 17,210,978.64 and 8,468,687.76

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Solution

The fourth proportional to 11,497,901.48, 17,210,978.64 and 8,468,687.76 is: 12,676,609.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,497,901.48 : 17,210,978.64 = 8,468,687.76 : x
  2. Step 2: Convert to fraction form
    11,497,901.48/17,210,978.64 = 8,468,687.76/x
  3. Step 3: Cross multiply
    11,497,901.48x = 17,210,978.64 × 8,468,687.76
  4. Step 4: Simplify right side
    11,497,901.48x = 145,754,404,146,189.44
  5. Step 5: Solve for x
    x = 145,754,404,146,189.44/11,497,901.48
  6. Step 6: Final answer
    x = 12,676,609.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.