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Finding the Fourth Proportional to 26,095.50, 39,150 and 8,565.48

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Solution

The fourth proportional to 26,095.50, 39,150 and 8,565.48 is: 12,850.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,095.50 : 39,150 = 8,565.48 : x
  2. Step 2: Convert to fraction form
    26,095.50/39,150 = 8,565.48/x
  3. Step 3: Cross multiply
    26,095.50x = 39,150 × 8,565.48
  4. Step 4: Simplify right side
    26,095.50x = 335,338,542
  5. Step 5: Solve for x
    x = 335,338,542/26,095.50
  6. Step 6: Final answer
    x = 12,850.44

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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.