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Finding the Fourth Proportional to 21,340.68, 31,857 and 20,382.12

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Solution

The fourth proportional to 21,340.68, 31,857 and 20,382.12 is: 30,426.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,340.68 : 31,857 = 20,382.12 : x
  2. Step 2: Convert to fraction form
    21,340.68/31,857 = 20,382.12/x
  3. Step 3: Cross multiply
    21,340.68x = 31,857 × 20,382.12
  4. Step 4: Simplify right side
    21,340.68x = 649,313,196.84
  5. Step 5: Solve for x
    x = 649,313,196.84/21,340.68
  6. Step 6: Final answer
    x = 30,426.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.