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Finding the Fourth Proportional to 16,387.80, 24,579 and 7,029.33

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Solution

The fourth proportional to 16,387.80, 24,579 and 7,029.33 is: 10,542.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,387.80 : 24,579 = 7,029.33 : x
  2. Step 2: Convert to fraction form
    16,387.80/24,579 = 7,029.33/x
  3. Step 3: Cross multiply
    16,387.80x = 24,579 × 7,029.33
  4. Step 4: Simplify right side
    16,387.80x = 172,773,902.07
  5. Step 5: Solve for x
    x = 172,773,902.07/16,387.80
  6. Step 6: Final answer
    x = 10,542.84

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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.