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Finding the Fourth Proportional to 12,014.72, 18,022.08 and 5,440.76

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Solution

The fourth proportional to 12,014.72, 18,022.08 and 5,440.76 is: 8,161.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,014.72 : 18,022.08 = 5,440.76 : x
  2. Step 2: Convert to fraction form
    12,014.72/18,022.08 = 5,440.76/x
  3. Step 3: Cross multiply
    12,014.72x = 18,022.08 × 5,440.76
  4. Step 4: Simplify right side
    12,014.72x = 98,053,811.98
  5. Step 5: Solve for x
    x = 98,053,811.98/12,014.72
  6. Step 6: Final answer
    x = 8,161.14

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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.