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Finding the Fourth Proportional to 21,963.59, 30,309.82 and 11,892.14

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Solution

The fourth proportional to 21,963.59, 30,309.82 and 11,892.14 is: 16,411.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,963.59 : 30,309.82 = 11,892.14 : x
  2. Step 2: Convert to fraction form
    21,963.59/30,309.82 = 11,892.14/x
  3. Step 3: Cross multiply
    21,963.59x = 30,309.82 × 11,892.14
  4. Step 4: Simplify right side
    21,963.59x = 360,448,441.54
  5. Step 5: Solve for x
    x = 360,448,441.54/21,963.59
  6. Step 6: Final answer
    x = 16,411.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.