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Finding the Fourth Proportional to 24,906, 34,370.28 and 13,728.24

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Solution

The fourth proportional to 24,906, 34,370.28 and 13,728.24 is: 18,944.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,906 : 34,370.28 = 13,728.24 : x
  2. Step 2: Convert to fraction form
    24,906/34,370.28 = 13,728.24/x
  3. Step 3: Cross multiply
    24,906x = 34,370.28 × 13,728.24
  4. Step 4: Simplify right side
    24,906x = 471,843,452.71
  5. Step 5: Solve for x
    x = 471,843,452.71/24,906
  6. Step 6: Final answer
    x = 18,944.97

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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.