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Finding the Fourth Proportional to 21,384.20, 32,066.70 and 8,232.20

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Solution

The fourth proportional to 21,384.20, 32,066.70 and 8,232.20 is: 12,344.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,384.20 : 32,066.70 = 8,232.20 : x
  2. Step 2: Convert to fraction form
    21,384.20/32,066.70 = 8,232.20/x
  3. Step 3: Cross multiply
    21,384.20x = 32,066.70 × 8,232.20
  4. Step 4: Simplify right side
    21,384.20x = 263,979,487.74
  5. Step 5: Solve for x
    x = 263,979,487.74/21,384.20
  6. Step 6: Final answer
    x = 12,344.60

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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.