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Finding the Fourth Proportional to 16,522.38, 24,786 and 4,834.08

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Solution

The fourth proportional to 16,522.38, 24,786 and 4,834.08 is: 7,251.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,522.38 : 24,786 = 4,834.08 : x
  2. Step 2: Convert to fraction form
    16,522.38/24,786 = 4,834.08/x
  3. Step 3: Cross multiply
    16,522.38x = 24,786 × 4,834.08
  4. Step 4: Simplify right side
    16,522.38x = 119,817,506.88
  5. Step 5: Solve for x
    x = 119,817,506.88/16,522.38
  6. Step 6: Final answer
    x = 7,251.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.