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Finding the Fourth Proportional to 21,145.41, 31,716.32 and 8,661.87

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Solution

The fourth proportional to 21,145.41, 31,716.32 and 8,661.87 is: 12,992.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,145.41 : 31,716.32 = 8,661.87 : x
  2. Step 2: Convert to fraction form
    21,145.41/31,716.32 = 8,661.87/x
  3. Step 3: Cross multiply
    21,145.41x = 31,716.32 × 8,661.87
  4. Step 4: Simplify right side
    21,145.41x = 274,722,597.41
  5. Step 5: Solve for x
    x = 274,722,597.41/21,145.41
  6. Step 6: Final answer
    x = 12,992.07

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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.