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Finding the Fourth Proportional to 17,882.66, 24,677.73 and 9,924.98

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Solution

The fourth proportional to 17,882.66, 24,677.73 and 9,924.98 is: 13,696.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,882.66 : 24,677.73 = 9,924.98 : x
  2. Step 2: Convert to fraction form
    17,882.66/24,677.73 = 9,924.98/x
  3. Step 3: Cross multiply
    17,882.66x = 24,677.73 × 9,924.98
  4. Step 4: Simplify right side
    17,882.66x = 244,925,976.70
  5. Step 5: Solve for x
    x = 244,925,976.70/17,882.66
  6. Step 6: Final answer
    x = 13,696.28

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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.