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Finding the Fourth Proportional to 16,784, 25,174.68 and 9,759.53

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Solution

The fourth proportional to 16,784, 25,174.68 and 9,759.53 is: 14,638.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,784 : 25,174.68 = 9,759.53 : x
  2. Step 2: Convert to fraction form
    16,784/25,174.68 = 9,759.53/x
  3. Step 3: Cross multiply
    16,784x = 25,174.68 × 9,759.53
  4. Step 4: Simplify right side
    16,784x = 245,693,044.70
  5. Step 5: Solve for x
    x = 245,693,044.70/16,784
  6. Step 6: Final answer
    x = 14,638.53

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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.