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Finding the Fourth Proportional to 22,499.25, 31,049.22 and 12,427.46

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Solution

The fourth proportional to 22,499.25, 31,049.22 and 12,427.46 is: 17,150.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,499.25 : 31,049.22 = 12,427.46 : x
  2. Step 2: Convert to fraction form
    22,499.25/31,049.22 = 12,427.46/x
  3. Step 3: Cross multiply
    22,499.25x = 31,049.22 × 12,427.46
  4. Step 4: Simplify right side
    22,499.25x = 385,862,939.58
  5. Step 5: Solve for x
    x = 385,862,939.58/22,499.25
  6. Step 6: Final answer
    x = 17,150.04

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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.