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Finding the Fourth Proportional to 25,676.10, 38,545.86 and 12,180.17

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Solution

The fourth proportional to 25,676.10, 38,545.86 and 12,180.17 is: 18,285.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,676.10 : 38,545.86 = 12,180.17 : x
  2. Step 2: Convert to fraction form
    25,676.10/38,545.86 = 12,180.17/x
  3. Step 3: Cross multiply
    25,676.10x = 38,545.86 × 12,180.17
  4. Step 4: Simplify right side
    25,676.10x = 469,495,151.69
  5. Step 5: Solve for x
    x = 469,495,151.69/25,676.10
  6. Step 6: Final answer
    x = 18,285.30

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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.