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Finding the Fourth Proportional to 14,294.42, 21,449.81 and 11,165.65

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Solution

The fourth proportional to 14,294.42, 21,449.81 and 11,165.65 is: 16,754.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,294.42 : 21,449.81 = 11,165.65 : x
  2. Step 2: Convert to fraction form
    14,294.42/21,449.81 = 11,165.65/x
  3. Step 3: Cross multiply
    14,294.42x = 21,449.81 × 11,165.65
  4. Step 4: Simplify right side
    14,294.42x = 239,500,961.57
  5. Step 5: Solve for x
    x = 239,500,961.57/14,294.42
  6. Step 6: Final answer
    x = 16,754.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.