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Finding the Fourth Proportional to 24,498.72, 36,704.16 and 16,168.32

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Solution

The fourth proportional to 24,498.72, 36,704.16 and 16,168.32 is: 24,223.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,498.72 : 36,704.16 = 16,168.32 : x
  2. Step 2: Convert to fraction form
    24,498.72/36,704.16 = 16,168.32/x
  3. Step 3: Cross multiply
    24,498.72x = 36,704.16 × 16,168.32
  4. Step 4: Simplify right side
    24,498.72x = 593,444,604.21
  5. Step 5: Solve for x
    x = 593,444,604.21/24,498.72
  6. Step 6: Final answer
    x = 24,223.49

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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.