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Finding the Fourth Proportional to 12,386.70, 18,580.05 and 7,453.80

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Solution

The fourth proportional to 12,386.70, 18,580.05 and 7,453.80 is: 11,180.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,386.70 : 18,580.05 = 7,453.80 : x
  2. Step 2: Convert to fraction form
    12,386.70/18,580.05 = 7,453.80/x
  3. Step 3: Cross multiply
    12,386.70x = 18,580.05 × 7,453.80
  4. Step 4: Simplify right side
    12,386.70x = 138,491,976.69
  5. Step 5: Solve for x
    x = 138,491,976.69/12,386.70
  6. Step 6: Final answer
    x = 11,180.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.