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Finding the Fourth Proportional to 15,166.32, 22,711.50 and 9,602.88

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Solution

The fourth proportional to 15,166.32, 22,711.50 and 9,602.88 is: 14,380.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,166.32 : 22,711.50 = 9,602.88 : x
  2. Step 2: Convert to fraction form
    15,166.32/22,711.50 = 9,602.88/x
  3. Step 3: Cross multiply
    15,166.32x = 22,711.50 × 9,602.88
  4. Step 4: Simplify right side
    15,166.32x = 218,095,809.12
  5. Step 5: Solve for x
    x = 218,095,809.12/15,166.32
  6. Step 6: Final answer
    x = 14,380.27

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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.