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Finding the Fourth Proportional to 17,924.78, 24,737.49 and 10,755

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Solution

The fourth proportional to 17,924.78, 24,737.49 and 10,755 is: 14,842.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,924.78 : 24,737.49 = 10,755 : x
  2. Step 2: Convert to fraction form
    17,924.78/24,737.49 = 10,755/x
  3. Step 3: Cross multiply
    17,924.78x = 24,737.49 × 10,755
  4. Step 4: Simplify right side
    17,924.78x = 266,051,704.95
  5. Step 5: Solve for x
    x = 266,051,704.95/17,924.78
  6. Step 6: Final answer
    x = 14,842.68

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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.