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Finding the Fourth Proportional to 12,269.66, 18,407.42 and 3,950.45

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Solution

The fourth proportional to 12,269.66, 18,407.42 and 3,950.45 is: 5,926.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,269.66 : 18,407.42 = 3,950.45 : x
  2. Step 2: Convert to fraction form
    12,269.66/18,407.42 = 3,950.45/x
  3. Step 3: Cross multiply
    12,269.66x = 18,407.42 × 3,950.45
  4. Step 4: Simplify right side
    12,269.66x = 72,717,648.23
  5. Step 5: Solve for x
    x = 72,717,648.23/12,269.66
  6. Step 6: Final answer
    x = 5,926.63

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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.