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Finding the Fourth Proportional to 17,414.75, 24,032.36 and 9,962.75

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Solution

The fourth proportional to 17,414.75, 24,032.36 and 9,962.75 is: 13,748.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,414.75 : 24,032.36 = 9,962.75 : x
  2. Step 2: Convert to fraction form
    17,414.75/24,032.36 = 9,962.75/x
  3. Step 3: Cross multiply
    17,414.75x = 24,032.36 × 9,962.75
  4. Step 4: Simplify right side
    17,414.75x = 239,428,394.59
  5. Step 5: Solve for x
    x = 239,428,394.59/17,414.75
  6. Step 6: Final answer
    x = 13,748.60

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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.