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Finding the Fourth Proportional to 13,408.07, 18,502.91 and 7,439.64

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Solution

The fourth proportional to 13,408.07, 18,502.91 and 7,439.64 is: 10,266.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,408.07 : 18,502.91 = 7,439.64 : x
  2. Step 2: Convert to fraction form
    13,408.07/18,502.91 = 7,439.64/x
  3. Step 3: Cross multiply
    13,408.07x = 18,502.91 × 7,439.64
  4. Step 4: Simplify right side
    13,408.07x = 137,654,952.15
  5. Step 5: Solve for x
    x = 137,654,952.15/13,408.07
  6. Step 6: Final answer
    x = 10,266.57

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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.