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Finding the Fourth Proportional to 16,259.43, 24,391.22 and 5,162.16

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Solution

The fourth proportional to 16,259.43, 24,391.22 and 5,162.16 is: 7,743.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,259.43 : 24,391.22 = 5,162.16 : x
  2. Step 2: Convert to fraction form
    16,259.43/24,391.22 = 5,162.16/x
  3. Step 3: Cross multiply
    16,259.43x = 24,391.22 × 5,162.16
  4. Step 4: Simplify right side
    16,259.43x = 125,911,354.42
  5. Step 5: Solve for x
    x = 125,911,354.42/16,259.43
  6. Step 6: Final answer
    x = 7,743.90

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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.