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Finding the Fourth Proportional to 15,147.68, 22,724.12 and 5,788.53

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Solution

The fourth proportional to 15,147.68, 22,724.12 and 5,788.53 is: 8,683.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,147.68 : 22,724.12 = 5,788.53 : x
  2. Step 2: Convert to fraction form
    15,147.68/22,724.12 = 5,788.53/x
  3. Step 3: Cross multiply
    15,147.68x = 22,724.12 × 5,788.53
  4. Step 4: Simplify right side
    15,147.68x = 131,539,264.81
  5. Step 5: Solve for x
    x = 131,539,264.81/15,147.68
  6. Step 6: Final answer
    x = 8,683.79

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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.