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Finding the Fourth Proportional to 13,349.71, 20,024.35 and 5,450.49

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Solution

The fourth proportional to 13,349.71, 20,024.35 and 5,450.49 is: 8,175.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,349.71 : 20,024.35 = 5,450.49 : x
  2. Step 2: Convert to fraction form
    13,349.71/20,024.35 = 5,450.49/x
  3. Step 3: Cross multiply
    13,349.71x = 20,024.35 × 5,450.49
  4. Step 4: Simplify right side
    13,349.71x = 109,142,505.81
  5. Step 5: Solve for x
    x = 109,142,505.81/13,349.71
  6. Step 6: Final answer
    x = 8,175.65

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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.