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Finding the Fourth Proportional to 23,149.31, 34,687.49 and 17,897.13

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Solution

The fourth proportional to 23,149.31, 34,687.49 and 17,897.13 is: 26,817.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,149.31 : 34,687.49 = 17,897.13 : x
  2. Step 2: Convert to fraction form
    23,149.31/34,687.49 = 17,897.13/x
  3. Step 3: Cross multiply
    23,149.31x = 34,687.49 × 17,897.13
  4. Step 4: Simplify right side
    23,149.31x = 620,806,428.42
  5. Step 5: Solve for x
    x = 620,806,428.42/23,149.31
  6. Step 6: Final answer
    x = 26,817.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.