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Finding the Fourth Proportional to 16,283.25, 22,472.01 and 9,209.70

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Solution

The fourth proportional to 16,283.25, 22,472.01 and 9,209.70 is: 12,710.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,283.25 : 22,472.01 = 9,209.70 : x
  2. Step 2: Convert to fraction form
    16,283.25/22,472.01 = 9,209.70/x
  3. Step 3: Cross multiply
    16,283.25x = 22,472.01 × 9,209.70
  4. Step 4: Simplify right side
    16,283.25x = 206,960,470.50
  5. Step 5: Solve for x
    x = 206,960,470.50/16,283.25
  6. Step 6: Final answer
    x = 12,710.02

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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.