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Finding the Fourth Proportional to 15,597.92, 23,366 and 8,191.28

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Solution

The fourth proportional to 15,597.92, 23,366 and 8,191.28 is: 12,270.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,597.92 : 23,366 = 8,191.28 : x
  2. Step 2: Convert to fraction form
    15,597.92/23,366 = 8,191.28/x
  3. Step 3: Cross multiply
    15,597.92x = 23,366 × 8,191.28
  4. Step 4: Simplify right side
    15,597.92x = 191,397,448.48
  5. Step 5: Solve for x
    x = 191,397,448.48/15,597.92
  6. Step 6: Final answer
    x = 12,270.70

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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.