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Finding the Fourth Proportional to 20,548.40, 30,824.76 and 6,694.16

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Solution

The fourth proportional to 20,548.40, 30,824.76 and 6,694.16 is: 10,041.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,548.40 : 30,824.76 = 6,694.16 : x
  2. Step 2: Convert to fraction form
    20,548.40/30,824.76 = 6,694.16/x
  3. Step 3: Cross multiply
    20,548.40x = 30,824.76 × 6,694.16
  4. Step 4: Simplify right side
    20,548.40x = 206,345,875.40
  5. Step 5: Solve for x
    x = 206,345,875.40/20,548.40
  6. Step 6: Final answer
    x = 10,041.94

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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.