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Finding the Fourth Proportional to 20,178.84, 30,277.14 and 10,326.24

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Solution

The fourth proportional to 20,178.84, 30,277.14 and 10,326.24 is: 15,493.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,178.84 : 30,277.14 = 10,326.24 : x
  2. Step 2: Convert to fraction form
    20,178.84/30,277.14 = 10,326.24/x
  3. Step 3: Cross multiply
    20,178.84x = 30,277.14 × 10,326.24
  4. Step 4: Simplify right side
    20,178.84x = 312,649,014.15
  5. Step 5: Solve for x
    x = 312,649,014.15/20,178.84
  6. Step 6: Final answer
    x = 15,493.90

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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.