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Finding the Fourth Proportional to 17,922.66, 24,735.24 and 10,266.66

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Solution

The fourth proportional to 17,922.66, 24,735.24 and 10,266.66 is: 14,169.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,922.66 : 24,735.24 = 10,266.66 : x
  2. Step 2: Convert to fraction form
    17,922.66/24,735.24 = 10,266.66/x
  3. Step 3: Cross multiply
    17,922.66x = 24,735.24 × 10,266.66
  4. Step 4: Simplify right side
    17,922.66x = 253,948,299.10
  5. Step 5: Solve for x
    x = 253,948,299.10/17,922.66
  6. Step 6: Final answer
    x = 14,169.12

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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.