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Finding the Fourth Proportional to 16,853.76, 23,247.36 and 10,229.76

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Solution

The fourth proportional to 16,853.76, 23,247.36 and 10,229.76 is: 14,110.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,853.76 : 23,247.36 = 10,229.76 : x
  2. Step 2: Convert to fraction form
    16,853.76/23,247.36 = 10,229.76/x
  3. Step 3: Cross multiply
    16,853.76x = 23,247.36 × 10,229.76
  4. Step 4: Simplify right side
    16,853.76x = 237,814,913.43
  5. Step 5: Solve for x
    x = 237,814,913.43/16,853.76
  6. Step 6: Final answer
    x = 14,110.50

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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.