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Finding the Fourth Proportional to 26,898.84, 40,350.60 and 7,177.50

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Solution

The fourth proportional to 26,898.84, 40,350.60 and 7,177.50 is: 10,766.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,898.84 : 40,350.60 = 7,177.50 : x
  2. Step 2: Convert to fraction form
    26,898.84/40,350.60 = 7,177.50/x
  3. Step 3: Cross multiply
    26,898.84x = 40,350.60 × 7,177.50
  4. Step 4: Simplify right side
    26,898.84x = 289,616,431.50
  5. Step 5: Solve for x
    x = 289,616,431.50/26,898.84
  6. Step 6: Final answer
    x = 10,766.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.