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Finding the Fourth Proportional to 16,024.71, 22,113.38 and 8,949.75

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Solution

The fourth proportional to 16,024.71, 22,113.38 and 8,949.75 is: 12,350.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,024.71 : 22,113.38 = 8,949.75 : x
  2. Step 2: Convert to fraction form
    16,024.71/22,113.38 = 8,949.75/x
  3. Step 3: Cross multiply
    16,024.71x = 22,113.38 × 8,949.75
  4. Step 4: Simplify right side
    16,024.71x = 197,909,177.91
  5. Step 5: Solve for x
    x = 197,909,177.91/16,024.71
  6. Step 6: Final answer
    x = 12,350.25

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Why These Related Problems?

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