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Finding the Fourth Proportional to 24,187.88, 33,513.69 and 23,663

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Solution

The fourth proportional to 24,187.88, 33,513.69 and 23,663 is: 32,786.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,187.88 : 33,513.69 = 23,663 : x
  2. Step 2: Convert to fraction form
    24,187.88/33,513.69 = 23,663/x
  3. Step 3: Cross multiply
    24,187.88x = 33,513.69 × 23,663
  4. Step 4: Simplify right side
    24,187.88x = 793,034,446.47
  5. Step 5: Solve for x
    x = 793,034,446.47/24,187.88
  6. Step 6: Final answer
    x = 32,786.44

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.