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Finding the Fourth Proportional to 16,757.12, 25,135.74 and 5,663.90

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Solution

The fourth proportional to 16,757.12, 25,135.74 and 5,663.90 is: 8,495.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,757.12 : 25,135.74 = 5,663.90 : x
  2. Step 2: Convert to fraction form
    16,757.12/25,135.74 = 5,663.90/x
  3. Step 3: Cross multiply
    16,757.12x = 25,135.74 × 5,663.90
  4. Step 4: Simplify right side
    16,757.12x = 142,366,317.79
  5. Step 5: Solve for x
    x = 142,366,317.79/16,757.12
  6. Step 6: Final answer
    x = 8,495.87

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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.