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Finding the Fourth Proportional to 17,733.25, 24,476.60 and 10,471.71

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Solution

The fourth proportional to 17,733.25, 24,476.60 and 10,471.71 is: 14,453.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,733.25 : 24,476.60 = 10,471.71 : x
  2. Step 2: Convert to fraction form
    17,733.25/24,476.60 = 10,471.71/x
  3. Step 3: Cross multiply
    17,733.25x = 24,476.60 × 10,471.71
  4. Step 4: Simplify right side
    17,733.25x = 256,311,856.99
  5. Step 5: Solve for x
    x = 256,311,856.99/17,733.25
  6. Step 6: Final answer
    x = 14,453.74

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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.