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Finding the Fourth Proportional to 24,713.97, 37,072.59 and 9,920.97

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Solution

The fourth proportional to 24,713.97, 37,072.59 and 9,920.97 is: 14,882.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,713.97 : 37,072.59 = 9,920.97 : x
  2. Step 2: Convert to fraction form
    24,713.97/37,072.59 = 9,920.97/x
  3. Step 3: Cross multiply
    24,713.97x = 37,072.59 × 9,920.97
  4. Step 4: Simplify right side
    24,713.97x = 367,796,053.21
  5. Step 5: Solve for x
    x = 367,796,053.21/24,713.97
  6. Step 6: Final answer
    x = 14,882.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.