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Finding the Fourth Proportional to 20,277.96, 30,421.74 and 6,426.96

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Solution

The fourth proportional to 20,277.96, 30,421.74 and 6,426.96 is: 9,641.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,277.96 : 30,421.74 = 6,426.96 : x
  2. Step 2: Convert to fraction form
    20,277.96/30,421.74 = 6,426.96/x
  3. Step 3: Cross multiply
    20,277.96x = 30,421.74 × 6,426.96
  4. Step 4: Simplify right side
    20,277.96x = 195,519,306.11
  5. Step 5: Solve for x
    x = 195,519,306.11/20,277.96
  6. Step 6: Final answer
    x = 9,641.96

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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.