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Finding the Fourth Proportional to 21,701.20, 32,545.40 and 8,549.20

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Solution

The fourth proportional to 21,701.20, 32,545.40 and 8,549.20 is: 12,821.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,701.20 : 32,545.40 = 8,549.20 : x
  2. Step 2: Convert to fraction form
    21,701.20/32,545.40 = 8,549.20/x
  3. Step 3: Cross multiply
    21,701.20x = 32,545.40 × 8,549.20
  4. Step 4: Simplify right side
    21,701.20x = 278,237,133.68
  5. Step 5: Solve for x
    x = 278,237,133.68/21,701.20
  6. Step 6: Final answer
    x = 12,821.28

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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.