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Finding the Fourth Proportional to 23,122.79, 31,907.16 and 13,049.29

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Solution

The fourth proportional to 23,122.79, 31,907.16 and 13,049.29 is: 18,006.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,122.79 : 31,907.16 = 13,049.29 : x
  2. Step 2: Convert to fraction form
    23,122.79/31,907.16 = 13,049.29/x
  3. Step 3: Cross multiply
    23,122.79x = 31,907.16 × 13,049.29
  4. Step 4: Simplify right side
    23,122.79x = 416,365,680.29
  5. Step 5: Solve for x
    x = 416,365,680.29/23,122.79
  6. Step 6: Final answer
    x = 18,006.72

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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.