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Finding the Fourth Proportional to 16,285.13, 22,473.48 and 9,211.40

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Solution

The fourth proportional to 16,285.13, 22,473.48 and 9,211.40 is: 12,711.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,285.13 : 22,473.48 = 9,211.40 : x
  2. Step 2: Convert to fraction form
    16,285.13/22,473.48 = 9,211.40/x
  3. Step 3: Cross multiply
    16,285.13x = 22,473.48 × 9,211.40
  4. Step 4: Simplify right side
    16,285.13x = 207,012,101.30
  5. Step 5: Solve for x
    x = 207,012,101.30/16,285.13
  6. Step 6: Final answer
    x = 12,711.73

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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.