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Finding the Fourth Proportional to 16,306.14, 22,505.97 and 9,934.80

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Solution

The fourth proportional to 16,306.14, 22,505.97 and 9,934.80 is: 13,712.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,306.14 : 22,505.97 = 9,934.80 : x
  2. Step 2: Convert to fraction form
    16,306.14/22,505.97 = 9,934.80/x
  3. Step 3: Cross multiply
    16,306.14x = 22,505.97 × 9,934.80
  4. Step 4: Simplify right side
    16,306.14x = 223,592,198.23
  5. Step 5: Solve for x
    x = 223,592,198.23/16,306.14
  6. Step 6: Final answer
    x = 13,712.15

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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.