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Finding the Fourth Proportional to 16,161.92, 24,243.44 and 4,476

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Solution

The fourth proportional to 16,161.92, 24,243.44 and 4,476 is: 6,714.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,161.92 : 24,243.44 = 4,476 : x
  2. Step 2: Convert to fraction form
    16,161.92/24,243.44 = 4,476/x
  3. Step 3: Cross multiply
    16,161.92x = 24,243.44 × 4,476
  4. Step 4: Simplify right side
    16,161.92x = 108,513,637.44
  5. Step 5: Solve for x
    x = 108,513,637.44/16,161.92
  6. Step 6: Final answer
    x = 6,714.16

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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.