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Finding the Fourth Proportional to 13,376.82, 18,458.82 and 7,408.38

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Solution

The fourth proportional to 13,376.82, 18,458.82 and 7,408.38 is: 10,222.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,376.82 : 18,458.82 = 7,408.38 : x
  2. Step 2: Convert to fraction form
    13,376.82/18,458.82 = 7,408.38/x
  3. Step 3: Cross multiply
    13,376.82x = 18,458.82 × 7,408.38
  4. Step 4: Simplify right side
    13,376.82x = 136,749,952.91
  5. Step 5: Solve for x
    x = 136,749,952.91/13,376.82
  6. Step 6: Final answer
    x = 10,222.90

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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.