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Finding the Fourth Proportional to 21,195.20, 31,783.20 and 8,043.20

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Solution

The fourth proportional to 21,195.20, 31,783.20 and 8,043.20 is: 12,061.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,195.20 : 31,783.20 = 8,043.20 : x
  2. Step 2: Convert to fraction form
    21,195.20/31,783.20 = 8,043.20/x
  3. Step 3: Cross multiply
    21,195.20x = 31,783.20 × 8,043.20
  4. Step 4: Simplify right side
    21,195.20x = 255,638,634.24
  5. Step 5: Solve for x
    x = 255,638,634.24/21,195.20
  6. Step 6: Final answer
    x = 12,061.16

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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.