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Finding the Fourth Proportional to 12,431.93, 18,641.48 and 3,665.70

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Solution

The fourth proportional to 12,431.93, 18,641.48 and 3,665.70 is: 5,496.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,431.93 : 18,641.48 = 3,665.70 : x
  2. Step 2: Convert to fraction form
    12,431.93/18,641.48 = 3,665.70/x
  3. Step 3: Cross multiply
    12,431.93x = 18,641.48 × 3,665.70
  4. Step 4: Simplify right side
    12,431.93x = 68,334,054.91
  5. Step 5: Solve for x
    x = 68,334,054.91/12,431.93
  6. Step 6: Final answer
    x = 5,496.66

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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.