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Finding the Fourth Proportional to 21,705.60, 32,545.20 and 8,542.20

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Solution

The fourth proportional to 21,705.60, 32,545.20 and 8,542.20 is: 12,808.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,705.60 : 32,545.20 = 8,542.20 : x
  2. Step 2: Convert to fraction form
    21,705.60/32,545.20 = 8,542.20/x
  3. Step 3: Cross multiply
    21,705.60x = 32,545.20 × 8,542.20
  4. Step 4: Simplify right side
    21,705.60x = 278,007,607.44
  5. Step 5: Solve for x
    x = 278,007,607.44/21,705.60
  6. Step 6: Final answer
    x = 12,808.11

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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.