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Finding the Fourth Proportional to 25,753.84, 38,648.07 and 9,113.80

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Solution

The fourth proportional to 25,753.84, 38,648.07 and 9,113.80 is: 13,676.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,753.84 : 38,648.07 = 9,113.80 : x
  2. Step 2: Convert to fraction form
    25,753.84/38,648.07 = 9,113.80/x
  3. Step 3: Cross multiply
    25,753.84x = 38,648.07 × 9,113.80
  4. Step 4: Simplify right side
    25,753.84x = 352,230,780.37
  5. Step 5: Solve for x
    x = 352,230,780.37/25,753.84
  6. Step 6: Final answer
    x = 13,676.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.