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Finding the Fourth Proportional to 20,409.85, 30,624.19 and 9,319.94

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Solution

The fourth proportional to 20,409.85, 30,624.19 and 9,319.94 is: 13,984.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,409.85 : 30,624.19 = 9,319.94 : x
  2. Step 2: Convert to fraction form
    20,409.85/30,624.19 = 9,319.94/x
  3. Step 3: Cross multiply
    20,409.85x = 30,624.19 × 9,319.94
  4. Step 4: Simplify right side
    20,409.85x = 285,415,436.93
  5. Step 5: Solve for x
    x = 285,415,436.93/20,409.85
  6. Step 6: Final answer
    x = 13,984.20

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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.