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Finding the Fourth Proportional to 15,520.16, 23,280.29 and 5,659.42

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Solution

The fourth proportional to 15,520.16, 23,280.29 and 5,659.42 is: 8,489.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,520.16 : 23,280.29 = 5,659.42 : x
  2. Step 2: Convert to fraction form
    15,520.16/23,280.29 = 5,659.42/x
  3. Step 3: Cross multiply
    15,520.16x = 23,280.29 × 5,659.42
  4. Step 4: Simplify right side
    15,520.16x = 131,752,938.83
  5. Step 5: Solve for x
    x = 131,752,938.83/15,520.16
  6. Step 6: Final answer
    x = 8,489.15

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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.