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Finding the Fourth Proportional to 12,057.32, 18,085.62 and 11,729

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Solution

The fourth proportional to 12,057.32, 18,085.62 and 11,729 is: 17,593.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,057.32 : 18,085.62 = 11,729 : x
  2. Step 2: Convert to fraction form
    12,057.32/18,085.62 = 11,729/x
  3. Step 3: Cross multiply
    12,057.32x = 18,085.62 × 11,729
  4. Step 4: Simplify right side
    12,057.32x = 212,126,236.98
  5. Step 5: Solve for x
    x = 212,126,236.98/12,057.32
  6. Step 6: Final answer
    x = 17,593.15

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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.