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Finding the Fourth Proportional to 13,408.40, 18,502.16 and 7,439.92

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Solution

The fourth proportional to 13,408.40, 18,502.16 and 7,439.92 is: 10,266.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,408.40 : 18,502.16 = 7,439.92 : x
  2. Step 2: Convert to fraction form
    13,408.40/18,502.16 = 7,439.92/x
  3. Step 3: Cross multiply
    13,408.40x = 18,502.16 × 7,439.92
  4. Step 4: Simplify right side
    13,408.40x = 137,654,590.23
  5. Step 5: Solve for x
    x = 137,654,590.23/13,408.40
  6. Step 6: Final answer
    x = 10,266.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.