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Finding the Fourth Proportional to 16,512.10, 22,784.58 and 9,439

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Solution

The fourth proportional to 16,512.10, 22,784.58 and 9,439 is: 13,024.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,512.10 : 22,784.58 = 9,439 : x
  2. Step 2: Convert to fraction form
    16,512.10/22,784.58 = 9,439/x
  3. Step 3: Cross multiply
    16,512.10x = 22,784.58 × 9,439
  4. Step 4: Simplify right side
    16,512.10x = 215,063,650.62
  5. Step 5: Solve for x
    x = 215,063,650.62/16,512.10
  6. Step 6: Final answer
    x = 13,024.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.