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Finding the Fourth Proportional to 22,162.50, 30,584.25 and 12,226.50

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Solution

The fourth proportional to 22,162.50, 30,584.25 and 12,226.50 is: 16,872.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,162.50 : 30,584.25 = 12,226.50 : x
  2. Step 2: Convert to fraction form
    22,162.50/30,584.25 = 12,226.50/x
  3. Step 3: Cross multiply
    22,162.50x = 30,584.25 × 12,226.50
  4. Step 4: Simplify right side
    22,162.50x = 373,938,332.63
  5. Step 5: Solve for x
    x = 373,938,332.63/22,162.50
  6. Step 6: Final answer
    x = 16,872.57

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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.