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Finding the Fourth Proportional to 15,105.20, 22,652.69 and 5,742.99

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Solution

The fourth proportional to 15,105.20, 22,652.69 and 5,742.99 is: 8,612.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,105.20 : 22,652.69 = 5,742.99 : x
  2. Step 2: Convert to fraction form
    15,105.20/22,652.69 = 5,742.99/x
  3. Step 3: Cross multiply
    15,105.20x = 22,652.69 × 5,742.99
  4. Step 4: Simplify right side
    15,105.20x = 130,094,143.43
  5. Step 5: Solve for x
    x = 130,094,143.43/15,105.20
  6. Step 6: Final answer
    x = 8,612.54

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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.