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Finding the Fourth Proportional to 22,522.50, 31,080.84 and 12,451.20

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Solution

The fourth proportional to 22,522.50, 31,080.84 and 12,451.20 is: 17,182.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,522.50 : 31,080.84 = 12,451.20 : x
  2. Step 2: Convert to fraction form
    22,522.50/31,080.84 = 12,451.20/x
  3. Step 3: Cross multiply
    22,522.50x = 31,080.84 × 12,451.20
  4. Step 4: Simplify right side
    22,522.50x = 386,993,755.01
  5. Step 5: Solve for x
    x = 386,993,755.01/22,522.50
  6. Step 6: Final answer
    x = 17,182.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.