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Finding the Fourth Proportional to 12,408.29, 17,117.74 and 7,369.64

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Solution

The fourth proportional to 12,408.29, 17,117.74 and 7,369.64 is: 10,166.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,408.29 : 17,117.74 = 7,369.64 : x
  2. Step 2: Convert to fraction form
    12,408.29/17,117.74 = 7,369.64/x
  3. Step 3: Cross multiply
    12,408.29x = 17,117.74 × 7,369.64
  4. Step 4: Simplify right side
    12,408.29x = 126,151,605.78
  5. Step 5: Solve for x
    x = 126,151,605.78/12,408.29
  6. Step 6: Final answer
    x = 10,166.72

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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.