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Finding the Fourth Proportional to 18,031.92, 24,881 and 10,074.21

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Solution

The fourth proportional to 18,031.92, 24,881 and 10,074.21 is: 13,900.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,031.92 : 24,881 = 10,074.21 : x
  2. Step 2: Convert to fraction form
    18,031.92/24,881 = 10,074.21/x
  3. Step 3: Cross multiply
    18,031.92x = 24,881 × 10,074.21
  4. Step 4: Simplify right side
    18,031.92x = 250,656,419.01
  5. Step 5: Solve for x
    x = 250,656,419.01/18,031.92
  6. Step 6: Final answer
    x = 13,900.71

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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.