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Finding the Fourth Proportional to 22,589.91, 31,172.85 and 12,517.74

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Solution

The fourth proportional to 22,589.91, 31,172.85 and 12,517.74 is: 17,273.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,589.91 : 31,172.85 = 12,517.74 : x
  2. Step 2: Convert to fraction form
    22,589.91/31,172.85 = 12,517.74/x
  3. Step 3: Cross multiply
    22,589.91x = 31,172.85 × 12,517.74
  4. Step 4: Simplify right side
    22,589.91x = 390,213,631.36
  5. Step 5: Solve for x
    x = 390,213,631.36/22,589.91
  6. Step 6: Final answer
    x = 17,273.80

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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.