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Finding the Fourth Proportional to 12,057.74, 18,094.13 and 5,394.23

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Solution

The fourth proportional to 12,057.74, 18,094.13 and 5,394.23 is: 8,094.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,057.74 : 18,094.13 = 5,394.23 : x
  2. Step 2: Convert to fraction form
    12,057.74/18,094.13 = 5,394.23/x
  3. Step 3: Cross multiply
    12,057.74x = 18,094.13 × 5,394.23
  4. Step 4: Simplify right side
    12,057.74x = 97,603,781.43
  5. Step 5: Solve for x
    x = 97,603,781.43/12,057.74
  6. Step 6: Final answer
    x = 8,094.70

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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.