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Finding the Fourth Proportional to 17,758.92, 24,503.40 and 10,204.68

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Solution

The fourth proportional to 17,758.92, 24,503.40 and 10,204.68 is: 14,080.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,758.92 : 24,503.40 = 10,204.68 : x
  2. Step 2: Convert to fraction form
    17,758.92/24,503.40 = 10,204.68/x
  3. Step 3: Cross multiply
    17,758.92x = 24,503.40 × 10,204.68
  4. Step 4: Simplify right side
    17,758.92x = 250,049,355.91
  5. Step 5: Solve for x
    x = 250,049,355.91/17,758.92
  6. Step 6: Final answer
    x = 14,080.21

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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.