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Finding the Fourth Proportional to 18,033.23, 24,885.38 and 9,967.46

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Solution

The fourth proportional to 18,033.23, 24,885.38 and 9,967.46 is: 13,754.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,033.23 : 24,885.38 = 9,967.46 : x
  2. Step 2: Convert to fraction form
    18,033.23/24,885.38 = 9,967.46/x
  3. Step 3: Cross multiply
    18,033.23x = 24,885.38 × 9,967.46
  4. Step 4: Simplify right side
    18,033.23x = 248,043,874.16
  5. Step 5: Solve for x
    x = 248,043,874.16/18,033.23
  6. Step 6: Final answer
    x = 13,754.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.