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Finding the Fourth Proportional to 25,817.76, 38,721.98 and 6,842.52

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Solution

The fourth proportional to 25,817.76, 38,721.98 and 6,842.52 is: 10,262.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,817.76 : 38,721.98 = 6,842.52 : x
  2. Step 2: Convert to fraction form
    25,817.76/38,721.98 = 6,842.52/x
  3. Step 3: Cross multiply
    25,817.76x = 38,721.98 × 6,842.52
  4. Step 4: Simplify right side
    25,817.76x = 264,955,922.59
  5. Step 5: Solve for x
    x = 264,955,922.59/25,817.76
  6. Step 6: Final answer
    x = 10,262.54

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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.