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Finding the Fourth Proportional to 19,781.14, 29,671.68 and 5,930.14

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Solution

The fourth proportional to 19,781.14, 29,671.68 and 5,930.14 is: 8,895.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,781.14 : 29,671.68 = 5,930.14 : x
  2. Step 2: Convert to fraction form
    19,781.14/29,671.68 = 5,930.14/x
  3. Step 3: Cross multiply
    19,781.14x = 29,671.68 × 5,930.14
  4. Step 4: Simplify right side
    19,781.14x = 175,957,216.44
  5. Step 5: Solve for x
    x = 175,957,216.44/19,781.14
  6. Step 6: Final answer
    x = 8,895.20

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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.