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Finding the Fourth Proportional to 20,587.38, 30,881.07 and 8,272.50

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Solution

The fourth proportional to 20,587.38, 30,881.07 and 8,272.50 is: 12,408.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,587.38 : 30,881.07 = 8,272.50 : x
  2. Step 2: Convert to fraction form
    20,587.38/30,881.07 = 8,272.50/x
  3. Step 3: Cross multiply
    20,587.38x = 30,881.07 × 8,272.50
  4. Step 4: Simplify right side
    20,587.38x = 255,463,651.58
  5. Step 5: Solve for x
    x = 255,463,651.58/20,587.38
  6. Step 6: Final answer
    x = 12,408.75

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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.