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Finding the Fourth Proportional to 22,146.50, 30,562.17 and 12,210.50

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Solution

The fourth proportional to 22,146.50, 30,562.17 and 12,210.50 is: 16,850.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,146.50 : 30,562.17 = 12,210.50 : x
  2. Step 2: Convert to fraction form
    22,146.50/30,562.17 = 12,210.50/x
  3. Step 3: Cross multiply
    22,146.50x = 30,562.17 × 12,210.50
  4. Step 4: Simplify right side
    22,146.50x = 373,179,376.79
  5. Step 5: Solve for x
    x = 373,179,376.79/22,146.50
  6. Step 6: Final answer
    x = 16,850.49

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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.