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Finding the Fourth Proportional to 17,681.40, 24,400.40 and 9,724.14

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Solution

The fourth proportional to 17,681.40, 24,400.40 and 9,724.14 is: 13,419.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,681.40 : 24,400.40 = 9,724.14 : x
  2. Step 2: Convert to fraction form
    17,681.40/24,400.40 = 9,724.14/x
  3. Step 3: Cross multiply
    17,681.40x = 24,400.40 × 9,724.14
  4. Step 4: Simplify right side
    17,681.40x = 237,272,905.66
  5. Step 5: Solve for x
    x = 237,272,905.66/17,681.40
  6. Step 6: Final answer
    x = 13,419.35

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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.