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Finding the Fourth Proportional to 25,876.84, 38,820.21 and 8,341.96

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Solution

The fourth proportional to 25,876.84, 38,820.21 and 8,341.96 is: 12,514.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,876.84 : 38,820.21 = 8,341.96 : x
  2. Step 2: Convert to fraction form
    25,876.84/38,820.21 = 8,341.96/x
  3. Step 3: Cross multiply
    25,876.84x = 38,820.21 × 8,341.96
  4. Step 4: Simplify right side
    25,876.84x = 323,836,639.01
  5. Step 5: Solve for x
    x = 323,836,639.01/25,876.84
  6. Step 6: Final answer
    x = 12,514.54

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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.