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Finding the Fourth Proportional to 13,917.42, 20,876.13 and 6,520.50

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Solution

The fourth proportional to 13,917.42, 20,876.13 and 6,520.50 is: 9,780.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,917.42 : 20,876.13 = 6,520.50 : x
  2. Step 2: Convert to fraction form
    13,917.42/20,876.13 = 6,520.50/x
  3. Step 3: Cross multiply
    13,917.42x = 20,876.13 × 6,520.50
  4. Step 4: Simplify right side
    13,917.42x = 136,122,805.67
  5. Step 5: Solve for x
    x = 136,122,805.67/13,917.42
  6. Step 6: Final answer
    x = 9,780.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.