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Finding the Fourth Proportional to 17,702.67, 24,429.68 and 9,744.84

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Solution

The fourth proportional to 17,702.67, 24,429.68 and 9,744.84 is: 13,447.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,702.67 : 24,429.68 = 9,744.84 : x
  2. Step 2: Convert to fraction form
    17,702.67/24,429.68 = 9,744.84/x
  3. Step 3: Cross multiply
    17,702.67x = 24,429.68 × 9,744.84
  4. Step 4: Simplify right side
    17,702.67x = 238,063,274.13
  5. Step 5: Solve for x
    x = 238,063,274.13/17,702.67
  6. Step 6: Final answer
    x = 13,447.87

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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.