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Finding the Fourth Proportional to 13,641.18, 20,459.49 and 3,781.45

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Solution

The fourth proportional to 13,641.18, 20,459.49 and 3,781.45 is: 5,671.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,641.18 : 20,459.49 = 3,781.45 : x
  2. Step 2: Convert to fraction form
    13,641.18/20,459.49 = 3,781.45/x
  3. Step 3: Cross multiply
    13,641.18x = 20,459.49 × 3,781.45
  4. Step 4: Simplify right side
    13,641.18x = 77,366,549.85
  5. Step 5: Solve for x
    x = 77,366,549.85/13,641.18
  6. Step 6: Final answer
    x = 5,671.55

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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.