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Finding the Fourth Proportional to 13,781.62, 19,020.05 and 8,118.15

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Solution

The fourth proportional to 13,781.62, 19,020.05 and 8,118.15 is: 11,203.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,781.62 : 19,020.05 = 8,118.15 : x
  2. Step 2: Convert to fraction form
    13,781.62/19,020.05 = 8,118.15/x
  3. Step 3: Cross multiply
    13,781.62x = 19,020.05 × 8,118.15
  4. Step 4: Simplify right side
    13,781.62x = 154,407,671.53
  5. Step 5: Solve for x
    x = 154,407,671.53/13,781.62
  6. Step 6: Final answer
    x = 11,203.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.