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Finding the Fourth Proportional to 25,945.76, 38,924.11 and 8,414.22

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Solution

The fourth proportional to 25,945.76, 38,924.11 and 8,414.22 is: 12,623.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,945.76 : 38,924.11 = 8,414.22 : x
  2. Step 2: Convert to fraction form
    25,945.76/38,924.11 = 8,414.22/x
  3. Step 3: Cross multiply
    25,945.76x = 38,924.11 × 8,414.22
  4. Step 4: Simplify right side
    25,945.76x = 327,516,024.84
  5. Step 5: Solve for x
    x = 327,516,024.84/25,945.76
  6. Step 6: Final answer
    x = 12,623.10

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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.