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Finding the Fourth Proportional to 13,174.50, 18,180.82 and 7,588.74

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Solution

The fourth proportional to 13,174.50, 18,180.82 and 7,588.74 is: 10,472.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,174.50 : 18,180.82 = 7,588.74 : x
  2. Step 2: Convert to fraction form
    13,174.50/18,180.82 = 7,588.74/x
  3. Step 3: Cross multiply
    13,174.50x = 18,180.82 × 7,588.74
  4. Step 4: Simplify right side
    13,174.50x = 137,969,515.97
  5. Step 5: Solve for x
    x = 137,969,515.97/13,174.50
  6. Step 6: Final answer
    x = 10,472.47

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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.