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Finding the Fourth Proportional to 20,103.84, 30,146.40 and 10,248.48

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Solution

The fourth proportional to 20,103.84, 30,146.40 and 10,248.48 is: 15,367.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,103.84 : 30,146.40 = 10,248.48 : x
  2. Step 2: Convert to fraction form
    20,103.84/30,146.40 = 10,248.48/x
  3. Step 3: Cross multiply
    20,103.84x = 30,146.40 × 10,248.48
  4. Step 4: Simplify right side
    20,103.84x = 308,954,777.47
  5. Step 5: Solve for x
    x = 308,954,777.47/20,103.84
  6. Step 6: Final answer
    x = 15,367.95

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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.