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Finding the Fourth Proportional to 24,428.27, 36,643.82 and 6,896.63

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Solution

The fourth proportional to 24,428.27, 36,643.82 and 6,896.63 is: 10,345.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,428.27 : 36,643.82 = 6,896.63 : x
  2. Step 2: Convert to fraction form
    24,428.27/36,643.82 = 6,896.63/x
  3. Step 3: Cross multiply
    24,428.27x = 36,643.82 × 6,896.63
  4. Step 4: Simplify right side
    24,428.27x = 252,718,650.62
  5. Step 5: Solve for x
    x = 252,718,650.62/24,428.27
  6. Step 6: Final answer
    x = 10,345.34

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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.