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Finding the Fourth Proportional to 17,424.20, 24,049.20 and 10,715.60

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Solution

The fourth proportional to 17,424.20, 24,049.20 and 10,715.60 is: 14,789.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,424.20 : 24,049.20 = 10,715.60 : x
  2. Step 2: Convert to fraction form
    17,424.20/24,049.20 = 10,715.60/x
  3. Step 3: Cross multiply
    17,424.20x = 24,049.20 × 10,715.60
  4. Step 4: Simplify right side
    17,424.20x = 257,701,607.52
  5. Step 5: Solve for x
    x = 257,701,607.52/17,424.20
  6. Step 6: Final answer
    x = 14,789.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.