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Finding the Fourth Proportional to 24,536.88, 36,805.92 and 8,954.50

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Solution

The fourth proportional to 24,536.88, 36,805.92 and 8,954.50 is: 13,431.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,536.88 : 36,805.92 = 8,954.50 : x
  2. Step 2: Convert to fraction form
    24,536.88/36,805.92 = 8,954.50/x
  3. Step 3: Cross multiply
    24,536.88x = 36,805.92 × 8,954.50
  4. Step 4: Simplify right side
    24,536.88x = 329,578,610.64
  5. Step 5: Solve for x
    x = 329,578,610.64/24,536.88
  6. Step 6: Final answer
    x = 13,431.97

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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.