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Finding the Fourth Proportional to 17,498, 24,147.24 and 11,214.02

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Solution

The fourth proportional to 17,498, 24,147.24 and 11,214.02 is: 15,475.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,498 : 24,147.24 = 11,214.02 : x
  2. Step 2: Convert to fraction form
    17,498/24,147.24 = 11,214.02/x
  3. Step 3: Cross multiply
    17,498x = 24,147.24 × 11,214.02
  4. Step 4: Simplify right side
    17,498x = 270,787,632.30
  5. Step 5: Solve for x
    x = 270,787,632.30/17,498
  6. Step 6: Final answer
    x = 15,475.35

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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.