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Finding the Fourth Proportional to 26,841.70, 40,269.51 and 10,202.02

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Solution

The fourth proportional to 26,841.70, 40,269.51 and 10,202.02 is: 15,305.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,841.70 : 40,269.51 = 10,202.02 : x
  2. Step 2: Convert to fraction form
    26,841.70/40,269.51 = 10,202.02/x
  3. Step 3: Cross multiply
    26,841.70x = 40,269.51 × 10,202.02
  4. Step 4: Simplify right side
    26,841.70x = 410,830,346.41
  5. Step 5: Solve for x
    x = 410,830,346.41/26,841.70
  6. Step 6: Final answer
    x = 15,305.68

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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.