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Finding the Fourth Proportional to 12,846,996.16, 17,729,975.89 and 7,046,898.90

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Solution

The fourth proportional to 12,846,996.16, 17,729,975.89 and 7,046,898.90 is: 9,725,335.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,846,996.16 : 17,729,975.89 = 7,046,898.90 : x
  2. Step 2: Convert to fraction form
    12,846,996.16/17,729,975.89 = 7,046,898.90/x
  3. Step 3: Cross multiply
    12,846,996.16x = 17,729,975.89 × 7,046,898.90
  4. Step 4: Simplify right side
    12,846,996.16x = 124,941,347,578,650.28
  5. Step 5: Solve for x
    x = 124,941,347,578,650.28/12,846,996.16
  6. Step 6: Final answer
    x = 9,725,335.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.