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Finding the Fourth Proportional to 16,161.32, 24,242.46 and 6,300.20

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Solution

The fourth proportional to 16,161.32, 24,242.46 and 6,300.20 is: 9,450.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,161.32 : 24,242.46 = 6,300.20 : x
  2. Step 2: Convert to fraction form
    16,161.32/24,242.46 = 6,300.20/x
  3. Step 3: Cross multiply
    16,161.32x = 24,242.46 × 6,300.20
  4. Step 4: Simplify right side
    16,161.32x = 152,732,346.49
  5. Step 5: Solve for x
    x = 152,732,346.49/16,161.32
  6. Step 6: Final answer
    x = 9,450.49

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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.