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Finding the Fourth Proportional to 13,872.88, 20,805.90 and 4,009.96

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Solution

The fourth proportional to 13,872.88, 20,805.90 and 4,009.96 is: 6,013.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,872.88 : 20,805.90 = 4,009.96 : x
  2. Step 2: Convert to fraction form
    13,872.88/20,805.90 = 4,009.96/x
  3. Step 3: Cross multiply
    13,872.88x = 20,805.90 × 4,009.96
  4. Step 4: Simplify right side
    13,872.88x = 83,430,826.76
  5. Step 5: Solve for x
    x = 83,430,826.76/13,872.88
  6. Step 6: Final answer
    x = 6,013.95

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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.