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Finding the Fourth Proportional to 20,631.68, 30,943.86 and 9,384.40

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Solution

The fourth proportional to 20,631.68, 30,943.86 and 9,384.40 is: 14,074.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,631.68 : 30,943.86 = 9,384.40 : x
  2. Step 2: Convert to fraction form
    20,631.68/30,943.86 = 9,384.40/x
  3. Step 3: Cross multiply
    20,631.68x = 30,943.86 × 9,384.40
  4. Step 4: Simplify right side
    20,631.68x = 290,389,555.42
  5. Step 5: Solve for x
    x = 290,389,555.42/20,631.68
  6. Step 6: Final answer
    x = 14,074.94

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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.