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Finding the Fourth Proportional to 22,078.73, 30,468.23 and 12,142.73

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Solution

The fourth proportional to 22,078.73, 30,468.23 and 12,142.73 is: 16,756.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,078.73 : 30,468.23 = 12,142.73 : x
  2. Step 2: Convert to fraction form
    22,078.73/30,468.23 = 12,142.73/x
  3. Step 3: Cross multiply
    22,078.73x = 30,468.23 × 12,142.73
  4. Step 4: Simplify right side
    22,078.73x = 369,967,429.75
  5. Step 5: Solve for x
    x = 369,967,429.75/22,078.73
  6. Step 6: Final answer
    x = 16,756.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.