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Finding the Fourth Proportional to 12,433.16, 18,640.62 and 5,855.66

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Solution

The fourth proportional to 12,433.16, 18,640.62 and 5,855.66 is: 8,779.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,433.16 : 18,640.62 = 5,855.66 : x
  2. Step 2: Convert to fraction form
    12,433.16/18,640.62 = 5,855.66/x
  3. Step 3: Cross multiply
    12,433.16x = 18,640.62 × 5,855.66
  4. Step 4: Simplify right side
    12,433.16x = 109,153,132.91
  5. Step 5: Solve for x
    x = 109,153,132.91/12,433.16
  6. Step 6: Final answer
    x = 8,779.19

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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.