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Finding the Fourth Proportional to 12,057.75, 18,094.32 and 5,132.25

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Solution

The fourth proportional to 12,057.75, 18,094.32 and 5,132.25 is: 7,701.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,057.75 : 18,094.32 = 5,132.25 : x
  2. Step 2: Convert to fraction form
    12,057.75/18,094.32 = 5,132.25/x
  3. Step 3: Cross multiply
    12,057.75x = 18,094.32 × 5,132.25
  4. Step 4: Simplify right side
    12,057.75x = 92,864,573.82
  5. Step 5: Solve for x
    x = 92,864,573.82/12,057.75
  6. Step 6: Final answer
    x = 7,701.65

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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.