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Finding the Fourth Proportional to 17,681.92, 24,401 and 9,724.24

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Solution

The fourth proportional to 17,681.92, 24,401 and 9,724.24 is: 13,419.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,681.92 : 24,401 = 9,724.24 : x
  2. Step 2: Convert to fraction form
    17,681.92/24,401 = 9,724.24/x
  3. Step 3: Cross multiply
    17,681.92x = 24,401 × 9,724.24
  4. Step 4: Simplify right side
    17,681.92x = 237,281,180.24
  5. Step 5: Solve for x
    x = 237,281,180.24/17,681.92
  6. Step 6: Final answer
    x = 13,419.42

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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.