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Finding the Fourth Proportional to 11,937.74, 17,856.89 and 11,052.01

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Solution

The fourth proportional to 11,937.74, 17,856.89 and 11,052.01 is: 16,531.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,937.74 : 17,856.89 = 11,052.01 : x
  2. Step 2: Convert to fraction form
    11,937.74/17,856.89 = 11,052.01/x
  3. Step 3: Cross multiply
    11,937.74x = 17,856.89 × 11,052.01
  4. Step 4: Simplify right side
    11,937.74x = 197,354,382.30
  5. Step 5: Solve for x
    x = 197,354,382.30/11,937.74
  6. Step 6: Final answer
    x = 16,531.97

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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.