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Finding the Fourth Proportional to 20,438.01, 30,646.98 and 9,196.83

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Solution

The fourth proportional to 20,438.01, 30,646.98 and 9,196.83 is: 13,790.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,438.01 : 30,646.98 = 9,196.83 : x
  2. Step 2: Convert to fraction form
    20,438.01/30,646.98 = 9,196.83/x
  3. Step 3: Cross multiply
    20,438.01x = 30,646.98 × 9,196.83
  4. Step 4: Simplify right side
    20,438.01x = 281,855,065.07
  5. Step 5: Solve for x
    x = 281,855,065.07/20,438.01
  6. Step 6: Final answer
    x = 13,790.73

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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.