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Finding the Fourth Proportional to 20,433.84, 30,662.28 and 10,045.68

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Solution

The fourth proportional to 20,433.84, 30,662.28 and 10,045.68 is: 15,074.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,433.84 : 30,662.28 = 10,045.68 : x
  2. Step 2: Convert to fraction form
    20,433.84/30,662.28 = 10,045.68/x
  3. Step 3: Cross multiply
    20,433.84x = 30,662.28 × 10,045.68
  4. Step 4: Simplify right side
    20,433.84x = 308,023,452.95
  5. Step 5: Solve for x
    x = 308,023,452.95/20,433.84
  6. Step 6: Final answer
    x = 15,074.18

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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.