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Finding the Fourth Proportional to 25,474.63, 38,214 and 9,687.22

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Solution

The fourth proportional to 25,474.63, 38,214 and 9,687.22 is: 14,531.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,474.63 : 38,214 = 9,687.22 : x
  2. Step 2: Convert to fraction form
    25,474.63/38,214 = 9,687.22/x
  3. Step 3: Cross multiply
    25,474.63x = 38,214 × 9,687.22
  4. Step 4: Simplify right side
    25,474.63x = 370,187,425.08
  5. Step 5: Solve for x
    x = 370,187,425.08/25,474.63
  6. Step 6: Final answer
    x = 14,531.61

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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.