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Finding the Fourth Proportional to 17,681.97, 24,400.56 and 9,724.17

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Solution

The fourth proportional to 17,681.97, 24,400.56 and 9,724.17 is: 13,419.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,681.97 : 24,400.56 = 9,724.17 : x
  2. Step 2: Convert to fraction form
    17,681.97/24,400.56 = 9,724.17/x
  3. Step 3: Cross multiply
    17,681.97x = 24,400.56 × 9,724.17
  4. Step 4: Simplify right side
    17,681.97x = 237,275,193.54
  5. Step 5: Solve for x
    x = 237,275,193.54/17,681.97
  6. Step 6: Final answer
    x = 13,419.05

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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.