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Finding the Fourth Proportional to 20,182.68, 30,274.80 and 7,036.36

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Solution

The fourth proportional to 20,182.68, 30,274.80 and 7,036.36 is: 10,554.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,182.68 : 30,274.80 = 7,036.36 : x
  2. Step 2: Convert to fraction form
    20,182.68/30,274.80 = 7,036.36/x
  3. Step 3: Cross multiply
    20,182.68x = 30,274.80 × 7,036.36
  4. Step 4: Simplify right side
    20,182.68x = 213,024,391.73
  5. Step 5: Solve for x
    x = 213,024,391.73/20,182.68
  6. Step 6: Final answer
    x = 10,554.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.