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Finding the Fourth Proportional to 21,377.52, 32,065.74 and 5,794.74

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Solution

The fourth proportional to 21,377.52, 32,065.74 and 5,794.74 is: 8,691.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,377.52 : 32,065.74 = 5,794.74 : x
  2. Step 2: Convert to fraction form
    21,377.52/32,065.74 = 5,794.74/x
  3. Step 3: Cross multiply
    21,377.52x = 32,065.74 × 5,794.74
  4. Step 4: Simplify right side
    21,377.52x = 185,812,626.21
  5. Step 5: Solve for x
    x = 185,812,626.21/21,377.52
  6. Step 6: Final answer
    x = 8,691.96

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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.