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Finding the Fourth Proportional to 20,437.76, 30,651.16 and 5,643.20

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Solution

The fourth proportional to 20,437.76, 30,651.16 and 5,643.20 is: 8,463.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,437.76 : 30,651.16 = 5,643.20 : x
  2. Step 2: Convert to fraction form
    20,437.76/30,651.16 = 5,643.20/x
  3. Step 3: Cross multiply
    20,437.76x = 30,651.16 × 5,643.20
  4. Step 4: Simplify right side
    20,437.76x = 172,970,626.11
  5. Step 5: Solve for x
    x = 172,970,626.11/20,437.76
  6. Step 6: Final answer
    x = 8,463.29

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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.