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Finding the Fourth Proportional to 26,584.50, 36,686.61 and 16,648.50

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Solution

The fourth proportional to 26,584.50, 36,686.61 and 16,648.50 is: 22,974.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,584.50 : 36,686.61 = 16,648.50 : x
  2. Step 2: Convert to fraction form
    26,584.50/36,686.61 = 16,648.50/x
  3. Step 3: Cross multiply
    26,584.50x = 36,686.61 × 16,648.50
  4. Step 4: Simplify right side
    26,584.50x = 610,777,026.59
  5. Step 5: Solve for x
    x = 610,777,026.59/26,584.50
  6. Step 6: Final answer
    x = 22,974.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.