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Finding the Fourth Proportional to 16,379.24, 22,603.43 and 9,306.05

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Solution

The fourth proportional to 16,379.24, 22,603.43 and 9,306.05 is: 12,842.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,379.24 : 22,603.43 = 9,306.05 : x
  2. Step 2: Convert to fraction form
    16,379.24/22,603.43 = 9,306.05/x
  3. Step 3: Cross multiply
    16,379.24x = 22,603.43 × 9,306.05
  4. Step 4: Simplify right side
    16,379.24x = 210,348,649.75
  5. Step 5: Solve for x
    x = 210,348,649.75/16,379.24
  6. Step 6: Final answer
    x = 12,842.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.