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Finding the Fourth Proportional to 21,981.48, 32,976.24 and 7,191.20

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Solution

The fourth proportional to 21,981.48, 32,976.24 and 7,191.20 is: 10,788.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,981.48 : 32,976.24 = 7,191.20 : x
  2. Step 2: Convert to fraction form
    21,981.48/32,976.24 = 7,191.20/x
  3. Step 3: Cross multiply
    21,981.48x = 32,976.24 × 7,191.20
  4. Step 4: Simplify right side
    21,981.48x = 237,138,737.09
  5. Step 5: Solve for x
    x = 237,138,737.09/21,981.48
  6. Step 6: Final answer
    x = 10,788.12

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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.