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Finding the Fourth Proportional to 12,199.70, 18,299.56 and 3,434.62

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Solution

The fourth proportional to 12,199.70, 18,299.56 and 3,434.62 is: 5,151.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,199.70 : 18,299.56 = 3,434.62 : x
  2. Step 2: Convert to fraction form
    12,199.70/18,299.56 = 3,434.62/x
  3. Step 3: Cross multiply
    12,199.70x = 18,299.56 × 3,434.62
  4. Step 4: Simplify right side
    12,199.70x = 62,852,034.77
  5. Step 5: Solve for x
    x = 62,852,034.77/12,199.70
  6. Step 6: Final answer
    x = 5,151.93

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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.