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Finding the Fourth Proportional to 17,677.92, 24,396.24 and 10,601.76

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Solution

The fourth proportional to 17,677.92, 24,396.24 and 10,601.76 is: 14,630.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,677.92 : 24,396.24 = 10,601.76 : x
  2. Step 2: Convert to fraction form
    17,677.92/24,396.24 = 10,601.76/x
  3. Step 3: Cross multiply
    17,677.92x = 24,396.24 × 10,601.76
  4. Step 4: Simplify right side
    17,677.92x = 258,643,081.38
  5. Step 5: Solve for x
    x = 258,643,081.38/17,677.92
  6. Step 6: Final answer
    x = 14,630.85

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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.