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Finding the Fourth Proportional to 21,977.65, 32,972.43 and 7,184.62

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Solution

The fourth proportional to 21,977.65, 32,972.43 and 7,184.62 is: 10,778.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,977.65 : 32,972.43 = 7,184.62 : x
  2. Step 2: Convert to fraction form
    21,977.65/32,972.43 = 7,184.62/x
  3. Step 3: Cross multiply
    21,977.65x = 32,972.43 × 7,184.62
  4. Step 4: Simplify right side
    21,977.65x = 236,894,380.03
  5. Step 5: Solve for x
    x = 236,894,380.03/21,977.65
  6. Step 6: Final answer
    x = 10,778.88

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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.