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Finding the Fourth Proportional to 17,856.27, 24,645.74 and 11,557.71

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Solution

The fourth proportional to 17,856.27, 24,645.74 and 11,557.71 is: 15,952.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,856.27 : 24,645.74 = 11,557.71 : x
  2. Step 2: Convert to fraction form
    17,856.27/24,645.74 = 11,557.71/x
  3. Step 3: Cross multiply
    17,856.27x = 24,645.74 × 11,557.71
  4. Step 4: Simplify right side
    17,856.27x = 284,848,257.87
  5. Step 5: Solve for x
    x = 284,848,257.87/17,856.27
  6. Step 6: Final answer
    x = 15,952.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.