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Finding the Fourth Proportional to 16,402.20, 22,633.74 and 9,327.12

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Solution

The fourth proportional to 16,402.20, 22,633.74 and 9,327.12 is: 12,870.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,402.20 : 22,633.74 = 9,327.12 : x
  2. Step 2: Convert to fraction form
    16,402.20/22,633.74 = 9,327.12/x
  3. Step 3: Cross multiply
    16,402.20x = 22,633.74 × 9,327.12
  4. Step 4: Simplify right side
    16,402.20x = 211,107,609.03
  5. Step 5: Solve for x
    x = 211,107,609.03/16,402.20
  6. Step 6: Final answer
    x = 12,870.69

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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.