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Finding the Fourth Proportional to 26,601.34, 39,898.95 and 6,878.38

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Solution

The fourth proportional to 26,601.34, 39,898.95 and 6,878.38 is: 10,316.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,601.34 : 39,898.95 = 6,878.38 : x
  2. Step 2: Convert to fraction form
    26,601.34/39,898.95 = 6,878.38/x
  3. Step 3: Cross multiply
    26,601.34x = 39,898.95 × 6,878.38
  4. Step 4: Simplify right side
    26,601.34x = 274,440,139.70
  5. Step 5: Solve for x
    x = 274,440,139.70/26,601.34
  6. Step 6: Final answer
    x = 10,316.78

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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.