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Finding the Fourth Proportional to 15,132.64, 22,679.24 and 7,730.86

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Solution

The fourth proportional to 15,132.64, 22,679.24 and 7,730.86 is: 11,586.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,132.64 : 22,679.24 = 7,730.86 : x
  2. Step 2: Convert to fraction form
    15,132.64/22,679.24 = 7,730.86/x
  3. Step 3: Cross multiply
    15,132.64x = 22,679.24 × 7,730.86
  4. Step 4: Simplify right side
    15,132.64x = 175,330,029.35
  5. Step 5: Solve for x
    x = 175,330,029.35/15,132.64
  6. Step 6: Final answer
    x = 11,586.22

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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.