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Finding the Fourth Proportional to 24,384.27, 33,650.29 and 13,206.27

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Solution

The fourth proportional to 24,384.27, 33,650.29 and 13,206.27 is: 18,224.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,384.27 : 33,650.29 = 13,206.27 : x
  2. Step 2: Convert to fraction form
    24,384.27/33,650.29 = 13,206.27/x
  3. Step 3: Cross multiply
    24,384.27x = 33,650.29 × 13,206.27
  4. Step 4: Simplify right side
    24,384.27x = 444,394,656.11
  5. Step 5: Solve for x
    x = 444,394,656.11/24,384.27
  6. Step 6: Final answer
    x = 18,224.65

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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.