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Finding the Fourth Proportional to 19,781.96, 29,677.79 and 9,103.32

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Solution

The fourth proportional to 19,781.96, 29,677.79 and 9,103.32 is: 13,657.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,781.96 : 29,677.79 = 9,103.32 : x
  2. Step 2: Convert to fraction form
    19,781.96/29,677.79 = 9,103.32/x
  3. Step 3: Cross multiply
    19,781.96x = 29,677.79 × 9,103.32
  4. Step 4: Simplify right side
    19,781.96x = 270,166,373.75
  5. Step 5: Solve for x
    x = 270,166,373.75/19,781.96
  6. Step 6: Final answer
    x = 13,657.21

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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.