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Finding the Fourth Proportional to 20,266.46, 30,402.74 and 7,116.52

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Solution

The fourth proportional to 20,266.46, 30,402.74 and 7,116.52 is: 10,675.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,266.46 : 30,402.74 = 7,116.52 : x
  2. Step 2: Convert to fraction form
    20,266.46/30,402.74 = 7,116.52/x
  3. Step 3: Cross multiply
    20,266.46x = 30,402.74 × 7,116.52
  4. Step 4: Simplify right side
    20,266.46x = 216,361,519.67
  5. Step 5: Solve for x
    x = 216,361,519.67/20,266.46
  6. Step 6: Final answer
    x = 10,675.84

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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.