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Finding the Fourth Proportional to 15,767.92, 23,663.22 and 9,196.12

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Solution

The fourth proportional to 15,767.92, 23,663.22 and 9,196.12 is: 13,800.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,767.92 : 23,663.22 = 9,196.12 : x
  2. Step 2: Convert to fraction form
    15,767.92/23,663.22 = 9,196.12/x
  3. Step 3: Cross multiply
    15,767.92x = 23,663.22 × 9,196.12
  4. Step 4: Simplify right side
    15,767.92x = 217,609,810.71
  5. Step 5: Solve for x
    x = 217,609,810.71/15,767.92
  6. Step 6: Final answer
    x = 13,800.79

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