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Finding the Fourth Proportional to 13,673.90, 20,502.66 and 5,344.16

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Solution

The fourth proportional to 13,673.90, 20,502.66 and 5,344.16 is: 8,013.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,673.90 : 20,502.66 = 5,344.16 : x
  2. Step 2: Convert to fraction form
    13,673.90/20,502.66 = 5,344.16/x
  3. Step 3: Cross multiply
    13,673.90x = 20,502.66 × 5,344.16
  4. Step 4: Simplify right side
    13,673.90x = 109,569,495.47
  5. Step 5: Solve for x
    x = 109,569,495.47/13,673.90
  6. Step 6: Final answer
    x = 8,013.04

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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.