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Finding the Fourth Proportional to 12,116.44, 18,148.02 and 10,012.60

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Solution

The fourth proportional to 12,116.44, 18,148.02 and 10,012.60 is: 14,996.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,116.44 : 18,148.02 = 10,012.60 : x
  2. Step 2: Convert to fraction form
    12,116.44/18,148.02 = 10,012.60/x
  3. Step 3: Cross multiply
    12,116.44x = 18,148.02 × 10,012.60
  4. Step 4: Simplify right side
    12,116.44x = 181,708,865.05
  5. Step 5: Solve for x
    x = 181,708,865.05/12,116.44
  6. Step 6: Final answer
    x = 14,996.89

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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.