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Finding the Fourth Proportional to 17,315.20, 23,866.92 and 13,531.76

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Solution

The fourth proportional to 17,315.20, 23,866.92 and 13,531.76 is: 18,651.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,315.20 : 23,866.92 = 13,531.76 : x
  2. Step 2: Convert to fraction form
    17,315.20/23,866.92 = 13,531.76/x
  3. Step 3: Cross multiply
    17,315.20x = 23,866.92 × 13,531.76
  4. Step 4: Simplify right side
    17,315.20x = 322,961,433.38
  5. Step 5: Solve for x
    x = 322,961,433.38/17,315.20
  6. Step 6: Final answer
    x = 18,651.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.