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Finding the Fourth Proportional to 26,587.32, 39,876.66 and 8,115

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Solution

The fourth proportional to 26,587.32, 39,876.66 and 8,115 is: 12,171.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,587.32 : 39,876.66 = 8,115 : x
  2. Step 2: Convert to fraction form
    26,587.32/39,876.66 = 8,115/x
  3. Step 3: Cross multiply
    26,587.32x = 39,876.66 × 8,115
  4. Step 4: Simplify right side
    26,587.32x = 323,599,095.90
  5. Step 5: Solve for x
    x = 323,599,095.90/26,587.32
  6. Step 6: Final answer
    x = 12,171.18

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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.