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Finding the Fourth Proportional to 21,215.80, 31,823.82 and 8,071.90

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Solution

The fourth proportional to 21,215.80, 31,823.82 and 8,071.90 is: 12,107.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,215.80 : 31,823.82 = 8,071.90 : x
  2. Step 2: Convert to fraction form
    21,215.80/31,823.82 = 8,071.90/x
  3. Step 3: Cross multiply
    21,215.80x = 31,823.82 × 8,071.90
  4. Step 4: Simplify right side
    21,215.80x = 256,878,692.66
  5. Step 5: Solve for x
    x = 256,878,692.66/21,215.80
  6. Step 6: Final answer
    x = 12,107.90

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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.