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Finding the Fourth Proportional to 20,878.38, 28,796.25 and 17,972.85

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Solution

The fourth proportional to 20,878.38, 28,796.25 and 17,972.85 is: 24,788.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,878.38 : 28,796.25 = 17,972.85 : x
  2. Step 2: Convert to fraction form
    20,878.38/28,796.25 = 17,972.85/x
  3. Step 3: Cross multiply
    20,878.38x = 28,796.25 × 17,972.85
  4. Step 4: Simplify right side
    20,878.38x = 517,550,681.81
  5. Step 5: Solve for x
    x = 517,550,681.81/20,878.38
  6. Step 6: Final answer
    x = 24,788.83

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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.