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Finding the Fourth Proportional to 13,552.32, 20,314.56 and 5,230.08

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Solution

The fourth proportional to 13,552.32, 20,314.56 and 5,230.08 is: 7,839.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,552.32 : 20,314.56 = 5,230.08 : x
  2. Step 2: Convert to fraction form
    13,552.32/20,314.56 = 5,230.08/x
  3. Step 3: Cross multiply
    13,552.32x = 20,314.56 × 5,230.08
  4. Step 4: Simplify right side
    13,552.32x = 106,246,773.96
  5. Step 5: Solve for x
    x = 106,246,773.96/13,552.32
  6. Step 6: Final answer
    x = 7,839.75

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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.