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Finding the Fourth Proportional to 22,544.26, 31,112 and 12,472.53

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Solution

The fourth proportional to 22,544.26, 31,112 and 12,472.53 is: 17,212.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,544.26 : 31,112 = 12,472.53 : x
  2. Step 2: Convert to fraction form
    22,544.26/31,112 = 12,472.53/x
  3. Step 3: Cross multiply
    22,544.26x = 31,112 × 12,472.53
  4. Step 4: Simplify right side
    22,544.26x = 388,045,353.36
  5. Step 5: Solve for x
    x = 388,045,353.36/22,544.26
  6. Step 6: Final answer
    x = 17,212.60

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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.