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Finding the Fourth Proportional to 15,144.60, 22,711.08 and 6,824.28

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Solution

The fourth proportional to 15,144.60, 22,711.08 and 6,824.28 is: 10,233.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,144.60 : 22,711.08 = 6,824.28 : x
  2. Step 2: Convert to fraction form
    15,144.60/22,711.08 = 6,824.28/x
  3. Step 3: Cross multiply
    15,144.60x = 22,711.08 × 6,824.28
  4. Step 4: Simplify right side
    15,144.60x = 154,986,769.02
  5. Step 5: Solve for x
    x = 154,986,769.02/15,144.60
  6. Step 6: Final answer
    x = 10,233.80

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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.