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Finding the Fourth Proportional to 16,294.11, 24,441.59 and 5,200.78

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Solution

The fourth proportional to 16,294.11, 24,441.59 and 5,200.78 is: 7,801.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,294.11 : 24,441.59 = 5,200.78 : x
  2. Step 2: Convert to fraction form
    16,294.11/24,441.59 = 5,200.78/x
  3. Step 3: Cross multiply
    16,294.11x = 24,441.59 × 5,200.78
  4. Step 4: Simplify right side
    16,294.11x = 127,115,300.91
  5. Step 5: Solve for x
    x = 127,115,300.91/16,294.11
  6. Step 6: Final answer
    x = 7,801.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.