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Finding the Fourth Proportional to 23,896.85, 32,978.19 and 13,141.04

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Solution

The fourth proportional to 23,896.85, 32,978.19 and 13,141.04 is: 18,134.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,896.85 : 32,978.19 = 13,141.04 : x
  2. Step 2: Convert to fraction form
    23,896.85/32,978.19 = 13,141.04/x
  3. Step 3: Cross multiply
    23,896.85x = 32,978.19 × 13,141.04
  4. Step 4: Simplify right side
    23,896.85x = 433,367,713.92
  5. Step 5: Solve for x
    x = 433,367,713.92/23,896.85
  6. Step 6: Final answer
    x = 18,134.93

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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.