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Finding the Fourth Proportional to 25,408.28, 38,112.08 and 7,878.12

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Solution

The fourth proportional to 25,408.28, 38,112.08 and 7,878.12 is: 11,817.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,408.28 : 38,112.08 = 7,878.12 : x
  2. Step 2: Convert to fraction form
    25,408.28/38,112.08 = 7,878.12/x
  3. Step 3: Cross multiply
    25,408.28x = 38,112.08 × 7,878.12
  4. Step 4: Simplify right side
    25,408.28x = 300,251,539.69
  5. Step 5: Solve for x
    x = 300,251,539.69/25,408.28
  6. Step 6: Final answer
    x = 11,817.07

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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.