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Finding the Fourth Proportional to 21,864.72, 32,797.05 and 6,282.34

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Solution

The fourth proportional to 21,864.72, 32,797.05 and 6,282.34 is: 9,423.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,864.72 : 32,797.05 = 6,282.34 : x
  2. Step 2: Convert to fraction form
    21,864.72/32,797.05 = 6,282.34/x
  3. Step 3: Cross multiply
    21,864.72x = 32,797.05 × 6,282.34
  4. Step 4: Simplify right side
    21,864.72x = 206,042,219.10
  5. Step 5: Solve for x
    x = 206,042,219.10/21,864.72
  6. Step 6: Final answer
    x = 9,423.50

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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.