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Finding the Fourth Proportional to 16,278.40, 22,463.88 and 9,205.12

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Solution

The fourth proportional to 16,278.40, 22,463.88 and 9,205.12 is: 12,702.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,278.40 : 22,463.88 = 9,205.12 : x
  2. Step 2: Convert to fraction form
    16,278.40/22,463.88 = 9,205.12/x
  3. Step 3: Cross multiply
    16,278.40x = 22,463.88 × 9,205.12
  4. Step 4: Simplify right side
    16,278.40x = 206,782,711.07
  5. Step 5: Solve for x
    x = 206,782,711.07/16,278.40
  6. Step 6: Final answer
    x = 12,702.89

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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.