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Finding the Fourth Proportional to 16,322.87, 24,474.72 and 5,223.84

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Solution

The fourth proportional to 16,322.87, 24,474.72 and 5,223.84 is: 7,832.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,322.87 : 24,474.72 = 5,223.84 : x
  2. Step 2: Convert to fraction form
    16,322.87/24,474.72 = 5,223.84/x
  3. Step 3: Cross multiply
    16,322.87x = 24,474.72 × 5,223.84
  4. Step 4: Simplify right side
    16,322.87x = 127,852,086.80
  5. Step 5: Solve for x
    x = 127,852,086.80/16,322.87
  6. Step 6: Final answer
    x = 7,832.70

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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.