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Finding the Fourth Proportional to 21,987.84, 32,976.90 and 8,830.20

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Solution

The fourth proportional to 21,987.84, 32,976.90 and 8,830.20 is: 13,243.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,987.84 : 32,976.90 = 8,830.20 : x
  2. Step 2: Convert to fraction form
    21,987.84/32,976.90 = 8,830.20/x
  3. Step 3: Cross multiply
    21,987.84x = 32,976.90 × 8,830.20
  4. Step 4: Simplify right side
    21,987.84x = 291,192,622.38
  5. Step 5: Solve for x
    x = 291,192,622.38/21,987.84
  6. Step 6: Final answer
    x = 13,243.35

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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.