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Finding the Fourth Proportional to 12,199.09, 18,299.72 and 3,434.08

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Solution

The fourth proportional to 12,199.09, 18,299.72 and 3,434.08 is: 5,151.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,199.09 : 18,299.72 = 3,434.08 : x
  2. Step 2: Convert to fraction form
    12,199.09/18,299.72 = 3,434.08/x
  3. Step 3: Cross multiply
    12,199.09x = 18,299.72 × 3,434.08
  4. Step 4: Simplify right side
    12,199.09x = 62,842,702.46
  5. Step 5: Solve for x
    x = 62,842,702.46/12,199.09
  6. Step 6: Final answer
    x = 5,151.43

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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.