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Finding the Fourth Proportional to 20,074.70, 30,088.13 and 8,228

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Solution

The fourth proportional to 20,074.70, 30,088.13 and 8,228 is: 12,332.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,074.70 : 30,088.13 = 8,228 : x
  2. Step 2: Convert to fraction form
    20,074.70/30,088.13 = 8,228/x
  3. Step 3: Cross multiply
    20,074.70x = 30,088.13 × 8,228
  4. Step 4: Simplify right side
    20,074.70x = 247,565,133.64
  5. Step 5: Solve for x
    x = 247,565,133.64/20,074.70
  6. Step 6: Final answer
    x = 12,332.20

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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.