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Finding the Fourth Proportional to 14,029.61, 21,057.17 and 7,461.32

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Solution

The fourth proportional to 14,029.61, 21,057.17 and 7,461.32 is: 11,198.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,029.61 : 21,057.17 = 7,461.32 : x
  2. Step 2: Convert to fraction form
    14,029.61/21,057.17 = 7,461.32/x
  3. Step 3: Cross multiply
    14,029.61x = 21,057.17 × 7,461.32
  4. Step 4: Simplify right side
    14,029.61x = 157,114,141.07
  5. Step 5: Solve for x
    x = 157,114,141.07/14,029.61
  6. Step 6: Final answer
    x = 11,198.76

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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.