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Finding the Fourth Proportional to 24,734.36, 37,105.86 and 10,883

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Solution

The fourth proportional to 24,734.36, 37,105.86 and 10,883 is: 16,326.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,734.36 : 37,105.86 = 10,883 : x
  2. Step 2: Convert to fraction form
    24,734.36/37,105.86 = 10,883/x
  3. Step 3: Cross multiply
    24,734.36x = 37,105.86 × 10,883
  4. Step 4: Simplify right side
    24,734.36x = 403,823,074.38
  5. Step 5: Solve for x
    x = 403,823,074.38/24,734.36
  6. Step 6: Final answer
    x = 16,326.40

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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.