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Finding the Fourth Proportional to 22,423.69, 30,944.05 and 12,214.50

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Solution

The fourth proportional to 22,423.69, 30,944.05 and 12,214.50 is: 16,855.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,423.69 : 30,944.05 = 12,214.50 : x
  2. Step 2: Convert to fraction form
    22,423.69/30,944.05 = 12,214.50/x
  3. Step 3: Cross multiply
    22,423.69x = 30,944.05 × 12,214.50
  4. Step 4: Simplify right side
    22,423.69x = 377,966,098.73
  5. Step 5: Solve for x
    x = 377,966,098.73/22,423.69
  6. Step 6: Final answer
    x = 16,855.66

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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.