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Finding the Fourth Proportional to 13,820.95, 20,715.90 and 5,498.71

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Solution

The fourth proportional to 13,820.95, 20,715.90 and 5,498.71 is: 8,241.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,820.95 : 20,715.90 = 5,498.71 : x
  2. Step 2: Convert to fraction form
    13,820.95/20,715.90 = 5,498.71/x
  3. Step 3: Cross multiply
    13,820.95x = 20,715.90 × 5,498.71
  4. Step 4: Simplify right side
    13,820.95x = 113,910,726.49
  5. Step 5: Solve for x
    x = 113,910,726.49/13,820.95
  6. Step 6: Final answer
    x = 8,241.89

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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.