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Finding the Fourth Proportional to 25,403.88, 38,109.06 and 7,874.76

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Solution

The fourth proportional to 25,403.88, 38,109.06 and 7,874.76 is: 11,813.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,403.88 : 38,109.06 = 7,874.76 : x
  2. Step 2: Convert to fraction form
    25,403.88/38,109.06 = 7,874.76/x
  3. Step 3: Cross multiply
    25,403.88x = 38,109.06 × 7,874.76
  4. Step 4: Simplify right side
    25,403.88x = 300,099,701.33
  5. Step 5: Solve for x
    x = 300,099,701.33/25,403.88
  6. Step 6: Final answer
    x = 11,813.14

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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.