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Finding the Fourth Proportional to 13,858.74, 20,781.54 and 4,493.52

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Solution

The fourth proportional to 13,858.74, 20,781.54 and 4,493.52 is: 6,738.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,858.74 : 20,781.54 = 4,493.52 : x
  2. Step 2: Convert to fraction form
    13,858.74/20,781.54 = 4,493.52/x
  3. Step 3: Cross multiply
    13,858.74x = 20,781.54 × 4,493.52
  4. Step 4: Simplify right side
    13,858.74x = 93,382,265.62
  5. Step 5: Solve for x
    x = 93,382,265.62/13,858.74
  6. Step 6: Final answer
    x = 6,738.15

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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.