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Finding the Fourth Proportional to 25,876.86, 38,822.22 and 9,238.62

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Solution

The fourth proportional to 25,876.86, 38,822.22 and 9,238.62 is: 13,860.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,876.86 : 38,822.22 = 9,238.62 : x
  2. Step 2: Convert to fraction form
    25,876.86/38,822.22 = 9,238.62/x
  3. Step 3: Cross multiply
    25,876.86x = 38,822.22 × 9,238.62
  4. Step 4: Simplify right side
    25,876.86x = 358,663,738.14
  5. Step 5: Solve for x
    x = 358,663,738.14/25,876.86
  6. Step 6: Final answer
    x = 13,860.40

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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.