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Finding the Fourth Proportional to 12,491.60, 18,715.80 and 8,106.80

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Solution

The fourth proportional to 12,491.60, 18,715.80 and 8,106.80 is: 12,146.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,491.60 : 18,715.80 = 8,106.80 : x
  2. Step 2: Convert to fraction form
    12,491.60/18,715.80 = 8,106.80/x
  3. Step 3: Cross multiply
    12,491.60x = 18,715.80 × 8,106.80
  4. Step 4: Simplify right side
    12,491.60x = 151,725,247.44
  5. Step 5: Solve for x
    x = 151,725,247.44/12,491.60
  6. Step 6: Final answer
    x = 12,146.18

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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.