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Finding the Fourth Proportional to 15,100.64, 22,659.87 and 5,748.53

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Solution

The fourth proportional to 15,100.64, 22,659.87 and 5,748.53 is: 8,626.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,100.64 : 22,659.87 = 5,748.53 : x
  2. Step 2: Convert to fraction form
    15,100.64/22,659.87 = 5,748.53/x
  3. Step 3: Cross multiply
    15,100.64x = 22,659.87 × 5,748.53
  4. Step 4: Simplify right side
    15,100.64x = 130,260,913.75
  5. Step 5: Solve for x
    x = 130,260,913.75/15,100.64
  6. Step 6: Final answer
    x = 8,626.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.