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Finding the Fourth Proportional to 15,197.94, 22,797.18 and 8,183.70

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Solution

The fourth proportional to 15,197.94, 22,797.18 and 8,183.70 is: 12,275.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,197.94 : 22,797.18 = 8,183.70 : x
  2. Step 2: Convert to fraction form
    15,197.94/22,797.18 = 8,183.70/x
  3. Step 3: Cross multiply
    15,197.94x = 22,797.18 × 8,183.70
  4. Step 4: Simplify right side
    15,197.94x = 186,565,281.97
  5. Step 5: Solve for x
    x = 186,565,281.97/15,197.94
  6. Step 6: Final answer
    x = 12,275.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.