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Finding the Fourth Proportional to 16,469.38, 24,704.47 and 4,782.70

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Solution

The fourth proportional to 16,469.38, 24,704.47 and 4,782.70 is: 7,174.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,469.38 : 24,704.47 = 4,782.70 : x
  2. Step 2: Convert to fraction form
    16,469.38/24,704.47 = 4,782.70/x
  3. Step 3: Cross multiply
    16,469.38x = 24,704.47 × 4,782.70
  4. Step 4: Simplify right side
    16,469.38x = 118,154,012.89
  5. Step 5: Solve for x
    x = 118,154,012.89/16,469.38
  6. Step 6: Final answer
    x = 7,174.16

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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.