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Finding the Fourth Proportional to 25,405.57, 38,114.30 and 7,874.47

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Solution

The fourth proportional to 25,405.57, 38,114.30 and 7,874.47 is: 11,813.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,405.57 : 38,114.30 = 7,874.47 : x
  2. Step 2: Convert to fraction form
    25,405.57/38,114.30 = 7,874.47/x
  3. Step 3: Cross multiply
    25,405.57x = 38,114.30 × 7,874.47
  4. Step 4: Simplify right side
    25,405.57x = 300,129,911.92
  5. Step 5: Solve for x
    x = 300,129,911.92/25,405.57
  6. Step 6: Final answer
    x = 11,813.55

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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.