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Finding the Fourth Proportional to 20,632.68, 30,945.36 and 9,385.40

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Solution

The fourth proportional to 20,632.68, 30,945.36 and 9,385.40 is: 14,076.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,632.68 : 30,945.36 = 9,385.40 : x
  2. Step 2: Convert to fraction form
    20,632.68/30,945.36 = 9,385.40/x
  3. Step 3: Cross multiply
    20,632.68x = 30,945.36 × 9,385.40
  4. Step 4: Simplify right side
    20,632.68x = 290,434,581.74
  5. Step 5: Solve for x
    x = 290,434,581.74/20,632.68
  6. Step 6: Final answer
    x = 14,076.44

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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.