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Finding the Fourth Proportional to 22,057.85, 30,438.59 and 13,099.66

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Solution

The fourth proportional to 22,057.85, 30,438.59 and 13,099.66 is: 18,076.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,057.85 : 30,438.59 = 13,099.66 : x
  2. Step 2: Convert to fraction form
    22,057.85/30,438.59 = 13,099.66/x
  3. Step 3: Cross multiply
    22,057.85x = 30,438.59 × 13,099.66
  4. Step 4: Simplify right side
    22,057.85x = 398,735,038.28
  5. Step 5: Solve for x
    x = 398,735,038.28/22,057.85
  6. Step 6: Final answer
    x = 18,076.78

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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.