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Finding the Fourth Proportional to 22,076.86, 30,465.40 and 12,517.64

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Solution

The fourth proportional to 22,076.86, 30,465.40 and 12,517.64 is: 17,273.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,076.86 : 30,465.40 = 12,517.64 : x
  2. Step 2: Convert to fraction form
    22,076.86/30,465.40 = 12,517.64/x
  3. Step 3: Cross multiply
    22,076.86x = 30,465.40 × 12,517.64
  4. Step 4: Simplify right side
    22,076.86x = 381,354,909.66
  5. Step 5: Solve for x
    x = 381,354,909.66/22,076.86
  6. Step 6: Final answer
    x = 17,273.97

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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.