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Finding the Fourth Proportional to 17,658.88, 24,369.42 and 9,701.27

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Solution

The fourth proportional to 17,658.88, 24,369.42 and 9,701.27 is: 13,387.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,658.88 : 24,369.42 = 9,701.27 : x
  2. Step 2: Convert to fraction form
    17,658.88/24,369.42 = 9,701.27/x
  3. Step 3: Cross multiply
    17,658.88x = 24,369.42 × 9,701.27
  4. Step 4: Simplify right side
    17,658.88x = 236,414,466.16
  5. Step 5: Solve for x
    x = 236,414,466.16/17,658.88
  6. Step 6: Final answer
    x = 13,387.85

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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.