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Finding the Fourth Proportional to 13,669.50, 20,502.42 and 5,343.72

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Solution

The fourth proportional to 13,669.50, 20,502.42 and 5,343.72 is: 8,014.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,669.50 : 20,502.42 = 5,343.72 : x
  2. Step 2: Convert to fraction form
    13,669.50/20,502.42 = 5,343.72/x
  3. Step 3: Cross multiply
    13,669.50x = 20,502.42 × 5,343.72
  4. Step 4: Simplify right side
    13,669.50x = 109,559,191.80
  5. Step 5: Solve for x
    x = 109,559,191.80/13,669.50
  6. Step 6: Final answer
    x = 8,014.86

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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.