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Finding the Fourth Proportional to 38,584.62, 57,862.20 and 13,620

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Solution

The fourth proportional to 38,584.62, 57,862.20 and 13,620 is: 20,424.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,584.62 : 57,862.20 = 13,620 : x
  2. Step 2: Convert to fraction form
    38,584.62/57,862.20 = 13,620/x
  3. Step 3: Cross multiply
    38,584.62x = 57,862.20 × 13,620
  4. Step 4: Simplify right side
    38,584.62x = 788,083,164
  5. Step 5: Solve for x
    x = 788,083,164/38,584.62
  6. Step 6: Final answer
    x = 20,424.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.