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Finding the Fourth Proportional to 25,727.88, 38,603.82 and 9,100.50

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Solution

The fourth proportional to 25,727.88, 38,603.82 and 9,100.50 is: 13,654.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,727.88 : 38,603.82 = 9,100.50 : x
  2. Step 2: Convert to fraction form
    25,727.88/38,603.82 = 9,100.50/x
  3. Step 3: Cross multiply
    25,727.88x = 38,603.82 × 9,100.50
  4. Step 4: Simplify right side
    25,727.88x = 351,314,063.91
  5. Step 5: Solve for x
    x = 351,314,063.91/25,727.88
  6. Step 6: Final answer
    x = 13,654.99

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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.