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Finding the Fourth Proportional to 17,711.57, 24,441 and 10,157.54

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Solution

The fourth proportional to 17,711.57, 24,441 and 10,157.54 is: 14,016.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,711.57 : 24,441 = 10,157.54 : x
  2. Step 2: Convert to fraction form
    17,711.57/24,441 = 10,157.54/x
  3. Step 3: Cross multiply
    17,711.57x = 24,441 × 10,157.54
  4. Step 4: Simplify right side
    17,711.57x = 248,260,312.94
  5. Step 5: Solve for x
    x = 248,260,312.94/17,711.57
  6. Step 6: Final answer
    x = 14,016.85

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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.