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Finding the Fourth Proportional to 17,488.80, 24,129.12 and 9,934.80

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Solution

The fourth proportional to 17,488.80, 24,129.12 and 9,934.80 is: 13,706.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,488.80 : 24,129.12 = 9,934.80 : x
  2. Step 2: Convert to fraction form
    17,488.80/24,129.12 = 9,934.80/x
  3. Step 3: Cross multiply
    17,488.80x = 24,129.12 × 9,934.80
  4. Step 4: Simplify right side
    17,488.80x = 239,717,981.38
  5. Step 5: Solve for x
    x = 239,717,981.38/17,488.80
  6. Step 6: Final answer
    x = 13,706.94

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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.