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Finding the Fourth Proportional to 15,045.31, 22,566.14 and 7,655.07

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Solution

The fourth proportional to 15,045.31, 22,566.14 and 7,655.07 is: 11,481.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,045.31 : 22,566.14 = 7,655.07 : x
  2. Step 2: Convert to fraction form
    15,045.31/22,566.14 = 7,655.07/x
  3. Step 3: Cross multiply
    15,045.31x = 22,566.14 × 7,655.07
  4. Step 4: Simplify right side
    15,045.31x = 172,745,399.97
  5. Step 5: Solve for x
    x = 172,745,399.97/15,045.31
  6. Step 6: Final answer
    x = 11,481.68

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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.