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Finding the Fourth Proportional to 20,265.84, 30,401.80 and 7,115.90

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Solution

The fourth proportional to 20,265.84, 30,401.80 and 7,115.90 is: 10,674.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,265.84 : 30,401.80 = 7,115.90 : x
  2. Step 2: Convert to fraction form
    20,265.84/30,401.80 = 7,115.90/x
  3. Step 3: Cross multiply
    20,265.84x = 30,401.80 × 7,115.90
  4. Step 4: Simplify right side
    20,265.84x = 216,336,168.62
  5. Step 5: Solve for x
    x = 216,336,168.62/20,265.84
  6. Step 6: Final answer
    x = 10,674.92

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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.