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Finding the Fourth Proportional to 12,199.35, 18,298.94 and 3,434.07

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Solution

The fourth proportional to 12,199.35, 18,298.94 and 3,434.07 is: 5,151.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,199.35 : 18,298.94 = 3,434.07 : x
  2. Step 2: Convert to fraction form
    12,199.35/18,298.94 = 3,434.07/x
  3. Step 3: Cross multiply
    12,199.35x = 18,298.94 × 3,434.07
  4. Step 4: Simplify right side
    12,199.35x = 62,839,823.72
  5. Step 5: Solve for x
    x = 62,839,823.72/12,199.35
  6. Step 6: Final answer
    x = 5,151.08

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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.