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Finding the Fourth Proportional to 15,772.92, 23,670.72 and 9,201.12

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Solution

The fourth proportional to 15,772.92, 23,670.72 and 9,201.12 is: 13,808.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,772.92 : 23,670.72 = 9,201.12 : x
  2. Step 2: Convert to fraction form
    15,772.92/23,670.72 = 9,201.12/x
  3. Step 3: Cross multiply
    15,772.92x = 23,670.72 × 9,201.12
  4. Step 4: Simplify right side
    15,772.92x = 217,797,135.21
  5. Step 5: Solve for x
    x = 217,797,135.21/15,772.92
  6. Step 6: Final answer
    x = 13,808.30

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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.