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Finding the Fourth Proportional to 21,826.80, 30,115.80 and 12,400.56

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Solution

The fourth proportional to 21,826.80, 30,115.80 and 12,400.56 is: 17,109.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,826.80 : 30,115.80 = 12,400.56 : x
  2. Step 2: Convert to fraction form
    21,826.80/30,115.80 = 12,400.56/x
  3. Step 3: Cross multiply
    21,826.80x = 30,115.80 × 12,400.56
  4. Step 4: Simplify right side
    21,826.80x = 373,452,784.85
  5. Step 5: Solve for x
    x = 373,452,784.85/21,826.80
  6. Step 6: Final answer
    x = 17,109.83

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