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Finding the Fourth Proportional to 21,354.72, 32,033.16 and 8,202.48

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Solution

The fourth proportional to 21,354.72, 32,033.16 and 8,202.48 is: 12,304.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,354.72 : 32,033.16 = 8,202.48 : x
  2. Step 2: Convert to fraction form
    21,354.72/32,033.16 = 8,202.48/x
  3. Step 3: Cross multiply
    21,354.72x = 32,033.16 × 8,202.48
  4. Step 4: Simplify right side
    21,354.72x = 262,751,354.24
  5. Step 5: Solve for x
    x = 262,751,354.24/21,354.72
  6. Step 6: Final answer
    x = 12,304.13

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1.5x scale

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.