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Finding the Fourth Proportional to 26,061.52, 39,000 and 16,205.44

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Solution

The fourth proportional to 26,061.52, 39,000 and 16,205.44 is: 24,250.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,061.52 : 39,000 = 16,205.44 : x
  2. Step 2: Convert to fraction form
    26,061.52/39,000 = 16,205.44/x
  3. Step 3: Cross multiply
    26,061.52x = 39,000 × 16,205.44
  4. Step 4: Simplify right side
    26,061.52x = 632,012,160
  5. Step 5: Solve for x
    x = 632,012,160/26,061.52
  6. Step 6: Final answer
    x = 24,250.78

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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.