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Finding the Fourth Proportional to 23,755, 35,642.02 and 8,968.11

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Solution

The fourth proportional to 23,755, 35,642.02 and 8,968.11 is: 13,455.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,755 : 35,642.02 = 8,968.11 : x
  2. Step 2: Convert to fraction form
    23,755/35,642.02 = 8,968.11/x
  3. Step 3: Cross multiply
    23,755x = 35,642.02 × 8,968.11
  4. Step 4: Simplify right side
    23,755x = 319,641,511.14
  5. Step 5: Solve for x
    x = 319,641,511.14/23,755
  6. Step 6: Final answer
    x = 13,455.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.