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Finding the Fourth Proportional to 24,016.72, 33,129.28 and 14,450

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Solution

The fourth proportional to 24,016.72, 33,129.28 and 14,450 is: 19,932.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,016.72 : 33,129.28 = 14,450 : x
  2. Step 2: Convert to fraction form
    24,016.72/33,129.28 = 14,450/x
  3. Step 3: Cross multiply
    24,016.72x = 33,129.28 × 14,450
  4. Step 4: Simplify right side
    24,016.72x = 478,718,096
  5. Step 5: Solve for x
    x = 478,718,096/24,016.72
  6. Step 6: Final answer
    x = 19,932.70

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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.