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Finding the Fourth Proportional to 25,346.57, 38,019.78 and 6,878.57

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Solution

The fourth proportional to 25,346.57, 38,019.78 and 6,878.57 is: 10,317.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,346.57 : 38,019.78 = 6,878.57 : x
  2. Step 2: Convert to fraction form
    25,346.57/38,019.78 = 6,878.57/x
  3. Step 3: Cross multiply
    25,346.57x = 38,019.78 × 6,878.57
  4. Step 4: Simplify right side
    25,346.57x = 261,521,528.02
  5. Step 5: Solve for x
    x = 261,521,528.02/25,346.57
  6. Step 6: Final answer
    x = 10,317.83

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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.