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Finding the Fourth Proportional to 24,736.36, 37,108.86 and 10,885

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Solution

The fourth proportional to 24,736.36, 37,108.86 and 10,885 is: 16,329.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,736.36 : 37,108.86 = 10,885 : x
  2. Step 2: Convert to fraction form
    24,736.36/37,108.86 = 10,885/x
  3. Step 3: Cross multiply
    24,736.36x = 37,108.86 × 10,885
  4. Step 4: Simplify right side
    24,736.36x = 403,929,941.10
  5. Step 5: Solve for x
    x = 403,929,941.10/24,736.36
  6. Step 6: Final answer
    x = 16,329.40

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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.