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Finding the Fourth Proportional to 12,377.81, 17,077.28 and 7,343.61

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Solution

The fourth proportional to 12,377.81, 17,077.28 and 7,343.61 is: 10,131.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,377.81 : 17,077.28 = 7,343.61 : x
  2. Step 2: Convert to fraction form
    12,377.81/17,077.28 = 7,343.61/x
  3. Step 3: Cross multiply
    12,377.81x = 17,077.28 × 7,343.61
  4. Step 4: Simplify right side
    12,377.81x = 125,408,920.79
  5. Step 5: Solve for x
    x = 125,408,920.79/12,377.81
  6. Step 6: Final answer
    x = 10,131.75

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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.