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Finding the Fourth Proportional to 25,406.78, 38,117.86 and 7,876.76

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Solution

The fourth proportional to 25,406.78, 38,117.86 and 7,876.76 is: 11,817.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,406.78 : 38,117.86 = 7,876.76 : x
  2. Step 2: Convert to fraction form
    25,406.78/38,117.86 = 7,876.76/x
  3. Step 3: Cross multiply
    25,406.78x = 38,117.86 × 7,876.76
  4. Step 4: Simplify right side
    25,406.78x = 300,245,024.65
  5. Step 5: Solve for x
    x = 300,245,024.65/25,406.78
  6. Step 6: Final answer
    x = 11,817.52

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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.