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Finding the Fourth Proportional to 20,180.68, 30,263.34 and 9,229

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Solution

The fourth proportional to 20,180.68, 30,263.34 and 9,229 is: 13,839.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,180.68 : 30,263.34 = 9,229 : x
  2. Step 2: Convert to fraction form
    20,180.68/30,263.34 = 9,229/x
  3. Step 3: Cross multiply
    20,180.68x = 30,263.34 × 9,229
  4. Step 4: Simplify right side
    20,180.68x = 279,300,364.86
  5. Step 5: Solve for x
    x = 279,300,364.86/20,180.68
  6. Step 6: Final answer
    x = 13,839.99

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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.