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Finding the Fourth Proportional to 30,215.72, 41,697.42 and 16,787

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Solution

The fourth proportional to 30,215.72, 41,697.42 and 16,787 is: 23,165.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,215.72 : 41,697.42 = 16,787 : x
  2. Step 2: Convert to fraction form
    30,215.72/41,697.42 = 16,787/x
  3. Step 3: Cross multiply
    30,215.72x = 41,697.42 × 16,787
  4. Step 4: Simplify right side
    30,215.72x = 699,974,589.54
  5. Step 5: Solve for x
    x = 699,974,589.54/30,215.72
  6. Step 6: Final answer
    x = 23,165.91

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