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Finding the Fourth Proportional to 13,408.26, 18,502.70 and 7,439.77

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Solution

The fourth proportional to 13,408.26, 18,502.70 and 7,439.77 is: 10,266.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,408.26 : 18,502.70 = 7,439.77 : x
  2. Step 2: Convert to fraction form
    13,408.26/18,502.70 = 7,439.77/x
  3. Step 3: Cross multiply
    13,408.26x = 18,502.70 × 7,439.77
  4. Step 4: Simplify right side
    13,408.26x = 137,655,832.38
  5. Step 5: Solve for x
    x = 137,655,832.38/13,408.26
  6. Step 6: Final answer
    x = 10,266.49

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Why These Related Problems?

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