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Finding the Fourth Proportional to 16,523.97, 24,764.08 and 12,120.81

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Solution

The fourth proportional to 16,523.97, 24,764.08 and 12,120.81 is: 18,165.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,523.97 : 24,764.08 = 12,120.81 : x
  2. Step 2: Convert to fraction form
    16,523.97/24,764.08 = 12,120.81/x
  3. Step 3: Cross multiply
    16,523.97x = 24,764.08 × 12,120.81
  4. Step 4: Simplify right side
    16,523.97x = 300,160,708.50
  5. Step 5: Solve for x
    x = 300,160,708.50/16,523.97
  6. Step 6: Final answer
    x = 18,165.17

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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.