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Finding the Fourth Proportional to 26,293.80, 39,433.86 and 10,498.20

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Solution

The fourth proportional to 26,293.80, 39,433.86 and 10,498.20 is: 15,744.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,293.80 : 39,433.86 = 10,498.20 : x
  2. Step 2: Convert to fraction form
    26,293.80/39,433.86 = 10,498.20/x
  3. Step 3: Cross multiply
    26,293.80x = 39,433.86 × 10,498.20
  4. Step 4: Simplify right side
    26,293.80x = 413,984,549.05
  5. Step 5: Solve for x
    x = 413,984,549.05/26,293.80
  6. Step 6: Final answer
    x = 15,744.57

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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.