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Finding the Fourth Proportional to 22,289.64, 30,759.74 and 12,217.87

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Solution

The fourth proportional to 22,289.64, 30,759.74 and 12,217.87 is: 16,860.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,289.64 : 30,759.74 = 12,217.87 : x
  2. Step 2: Convert to fraction form
    22,289.64/30,759.74 = 12,217.87/x
  3. Step 3: Cross multiply
    22,289.64x = 30,759.74 × 12,217.87
  4. Step 4: Simplify right side
    22,289.64x = 375,818,504.55
  5. Step 5: Solve for x
    x = 375,818,504.55/22,289.64
  6. Step 6: Final answer
    x = 16,860.68

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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.