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Finding the Fourth Proportional to 16,378.38, 24,568.20 and 5,285.25

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Solution

The fourth proportional to 16,378.38, 24,568.20 and 5,285.25 is: 7,928.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,378.38 : 24,568.20 = 5,285.25 : x
  2. Step 2: Convert to fraction form
    16,378.38/24,568.20 = 5,285.25/x
  3. Step 3: Cross multiply
    16,378.38x = 24,568.20 × 5,285.25
  4. Step 4: Simplify right side
    16,378.38x = 129,849,079.05
  5. Step 5: Solve for x
    x = 129,849,079.05/16,378.38
  6. Step 6: Final answer
    x = 7,928.08

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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.