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Finding the Fourth Proportional to 26,205.50, 39,294.88 and 8,669

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Solution

The fourth proportional to 26,205.50, 39,294.88 and 8,669 is: 12,999.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,205.50 : 39,294.88 = 8,669 : x
  2. Step 2: Convert to fraction form
    26,205.50/39,294.88 = 8,669/x
  3. Step 3: Cross multiply
    26,205.50x = 39,294.88 × 8,669
  4. Step 4: Simplify right side
    26,205.50x = 340,647,314.72
  5. Step 5: Solve for x
    x = 340,647,314.72/26,205.50
  6. Step 6: Final answer
    x = 12,999.08

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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.