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Finding the Fourth Proportional to 24,794.30, 34,216.10 and 13,616.30

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Solution

The fourth proportional to 24,794.30, 34,216.10 and 13,616.30 is: 18,790.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,794.30 : 34,216.10 = 13,616.30 : x
  2. Step 2: Convert to fraction form
    24,794.30/34,216.10 = 13,616.30/x
  3. Step 3: Cross multiply
    24,794.30x = 34,216.10 × 13,616.30
  4. Step 4: Simplify right side
    24,794.30x = 465,896,614.35
  5. Step 5: Solve for x
    x = 465,896,614.35/24,794.30
  6. Step 6: Final answer
    x = 18,790.47

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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.