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Finding the Fourth Proportional to 23,117.70, 31,902.30 and 13,049.41

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Solution

The fourth proportional to 23,117.70, 31,902.30 and 13,049.41 is: 18,008.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,117.70 : 31,902.30 = 13,049.41 : x
  2. Step 2: Convert to fraction form
    23,117.70/31,902.30 = 13,049.41/x
  3. Step 3: Cross multiply
    23,117.70x = 31,902.30 × 13,049.41
  4. Step 4: Simplify right side
    23,117.70x = 416,306,192.64
  5. Step 5: Solve for x
    x = 416,306,192.64/23,117.70
  6. Step 6: Final answer
    x = 18,008.11

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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.