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Finding the Fourth Proportional to 12,002.82, 18,002.14 and 5,427.48

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Solution

The fourth proportional to 12,002.82, 18,002.14 and 5,427.48 is: 8,140.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,002.82 : 18,002.14 = 5,427.48 : x
  2. Step 2: Convert to fraction form
    12,002.82/18,002.14 = 5,427.48/x
  3. Step 3: Cross multiply
    12,002.82x = 18,002.14 × 5,427.48
  4. Step 4: Simplify right side
    12,002.82x = 97,706,254.81
  5. Step 5: Solve for x
    x = 97,706,254.81/12,002.82
  6. Step 6: Final answer
    x = 8,140.27

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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.