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Finding the Fourth Proportional to 25,508.40, 38,262.55 and 6,788.44

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Solution

The fourth proportional to 25,508.40, 38,262.55 and 6,788.44 is: 10,182.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,508.40 : 38,262.55 = 6,788.44 : x
  2. Step 2: Convert to fraction form
    25,508.40/38,262.55 = 6,788.44/x
  3. Step 3: Cross multiply
    25,508.40x = 38,262.55 × 6,788.44
  4. Step 4: Simplify right side
    25,508.40x = 259,743,024.92
  5. Step 5: Solve for x
    x = 259,743,024.92/25,508.40
  6. Step 6: Final answer
    x = 10,182.65

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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.