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Finding the Fourth Proportional to 16,314.38, 24,474.72 and 6,954.24

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Solution

The fourth proportional to 16,314.38, 24,474.72 and 6,954.24 is: 10,432.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,314.38 : 24,474.72 = 6,954.24 : x
  2. Step 2: Convert to fraction form
    16,314.38/24,474.72 = 6,954.24/x
  3. Step 3: Cross multiply
    16,314.38x = 24,474.72 × 6,954.24
  4. Step 4: Simplify right side
    16,314.38x = 170,203,076.81
  5. Step 5: Solve for x
    x = 170,203,076.81/16,314.38
  6. Step 6: Final answer
    x = 10,432.70

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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.