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Finding the Fourth Proportional to 17,753.32, 24,503.85 and 10,678.38

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Solution

The fourth proportional to 17,753.32, 24,503.85 and 10,678.38 is: 14,738.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,753.32 : 24,503.85 = 10,678.38 : x
  2. Step 2: Convert to fraction form
    17,753.32/24,503.85 = 10,678.38/x
  3. Step 3: Cross multiply
    17,753.32x = 24,503.85 × 10,678.38
  4. Step 4: Simplify right side
    17,753.32x = 261,661,421.76
  5. Step 5: Solve for x
    x = 261,661,421.76/17,753.32
  6. Step 6: Final answer
    x = 14,738.73

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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.