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Finding the Fourth Proportional to 26,876.68, 40,315.11 and 8,156.87

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Solution

The fourth proportional to 26,876.68, 40,315.11 and 8,156.87 is: 12,235.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,876.68 : 40,315.11 = 8,156.87 : x
  2. Step 2: Convert to fraction form
    26,876.68/40,315.11 = 8,156.87/x
  3. Step 3: Cross multiply
    26,876.68x = 40,315.11 × 8,156.87
  4. Step 4: Simplify right side
    26,876.68x = 328,845,030.32
  5. Step 5: Solve for x
    x = 328,845,030.32/26,876.68
  6. Step 6: Final answer
    x = 12,235.33

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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.