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Finding the Fourth Proportional to 20,275.85, 30,394.64 and 9,751.83

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Solution

The fourth proportional to 20,275.85, 30,394.64 and 9,751.83 is: 14,618.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,275.85 : 30,394.64 = 9,751.83 : x
  2. Step 2: Convert to fraction form
    20,275.85/30,394.64 = 9,751.83/x
  3. Step 3: Cross multiply
    20,275.85x = 30,394.64 × 9,751.83
  4. Step 4: Simplify right side
    20,275.85x = 296,403,347.87
  5. Step 5: Solve for x
    x = 296,403,347.87/20,275.85
  6. Step 6: Final answer
    x = 14,618.54

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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.