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Finding the Fourth Proportional to 16,428.38, 24,644.99 and 7,658.51

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Solution

The fourth proportional to 16,428.38, 24,644.99 and 7,658.51 is: 11,488.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,428.38 : 24,644.99 = 7,658.51 : x
  2. Step 2: Convert to fraction form
    16,428.38/24,644.99 = 7,658.51/x
  3. Step 3: Cross multiply
    16,428.38x = 24,644.99 × 7,658.51
  4. Step 4: Simplify right side
    16,428.38x = 188,743,798.29
  5. Step 5: Solve for x
    x = 188,743,798.29/16,428.38
  6. Step 6: Final answer
    x = 11,488.89

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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.