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Finding the Fourth Proportional to 15,253.32, 22,861.14 and 9,007

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Solution

The fourth proportional to 15,253.32, 22,861.14 and 9,007 is: 13,499.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,253.32 : 22,861.14 = 9,007 : x
  2. Step 2: Convert to fraction form
    15,253.32/22,861.14 = 9,007/x
  3. Step 3: Cross multiply
    15,253.32x = 22,861.14 × 9,007
  4. Step 4: Simplify right side
    15,253.32x = 205,910,287.98
  5. Step 5: Solve for x
    x = 205,910,287.98/15,253.32
  6. Step 6: Final answer
    x = 13,499.38

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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.