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Finding the Fourth Proportional to 25,424.40, 38,143.92 and 7,894.32

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Solution

The fourth proportional to 25,424.40, 38,143.92 and 7,894.32 is: 11,843.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,424.40 : 38,143.92 = 7,894.32 : x
  2. Step 2: Convert to fraction form
    25,424.40/38,143.92 = 7,894.32/x
  3. Step 3: Cross multiply
    25,424.40x = 38,143.92 × 7,894.32
  4. Step 4: Simplify right side
    25,424.40x = 301,120,310.53
  5. Step 5: Solve for x
    x = 301,120,310.53/25,424.40
  6. Step 6: Final answer
    x = 11,843.75

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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.