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Finding the Fourth Proportional to 22,057.64, 30,414.66 and 16,078.76

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Solution

The fourth proportional to 22,057.64, 30,414.66 and 16,078.76 is: 22,170.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,057.64 : 30,414.66 = 16,078.76 : x
  2. Step 2: Convert to fraction form
    22,057.64/30,414.66 = 16,078.76/x
  3. Step 3: Cross multiply
    22,057.64x = 30,414.66 × 16,078.76
  4. Step 4: Simplify right side
    22,057.64x = 489,030,018.62
  5. Step 5: Solve for x
    x = 489,030,018.62/22,057.64
  6. Step 6: Final answer
    x = 22,170.55

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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.