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Finding the Fourth Proportional to 13,633.80, 20,447.82 and 4,869.24

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Solution

The fourth proportional to 13,633.80, 20,447.82 and 4,869.24 is: 7,302.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,633.80 : 20,447.82 = 4,869.24 : x
  2. Step 2: Convert to fraction form
    13,633.80/20,447.82 = 4,869.24/x
  3. Step 3: Cross multiply
    13,633.80x = 20,447.82 × 4,869.24
  4. Step 4: Simplify right side
    13,633.80x = 99,565,343.06
  5. Step 5: Solve for x
    x = 99,565,343.06/13,633.80
  6. Step 6: Final answer
    x = 7,302.83

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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.