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Finding the Fourth Proportional to 21,214.80, 31,822.20 and 20,005.20

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Solution

The fourth proportional to 21,214.80, 31,822.20 and 20,005.20 is: 30,007.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,214.80 : 31,822.20 = 20,005.20 : x
  2. Step 2: Convert to fraction form
    21,214.80/31,822.20 = 20,005.20/x
  3. Step 3: Cross multiply
    21,214.80x = 31,822.20 × 20,005.20
  4. Step 4: Simplify right side
    21,214.80x = 636,609,475.44
  5. Step 5: Solve for x
    x = 636,609,475.44/21,214.80
  6. Step 6: Final answer
    x = 30,007.80

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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.