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Finding the Fourth Proportional to 13,425.78, 20,140.29 and 3,565.32

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Solution

The fourth proportional to 13,425.78, 20,140.29 and 3,565.32 is: 5,348.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,425.78 : 20,140.29 = 3,565.32 : x
  2. Step 2: Convert to fraction form
    13,425.78/20,140.29 = 3,565.32/x
  3. Step 3: Cross multiply
    13,425.78x = 20,140.29 × 3,565.32
  4. Step 4: Simplify right side
    13,425.78x = 71,806,578.74
  5. Step 5: Solve for x
    x = 71,806,578.74/13,425.78
  6. Step 6: Final answer
    x = 5,348.41

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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.