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Finding the Fourth Proportional to 21,264.60, 31,914.18 and 8,118.84

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Solution

The fourth proportional to 21,264.60, 31,914.18 and 8,118.84 is: 12,184.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,264.60 : 31,914.18 = 8,118.84 : x
  2. Step 2: Convert to fraction form
    21,264.60/31,914.18 = 8,118.84/x
  3. Step 3: Cross multiply
    21,264.60x = 31,914.18 × 8,118.84
  4. Step 4: Simplify right side
    21,264.60x = 259,106,121.15
  5. Step 5: Solve for x
    x = 259,106,121.15/21,264.60
  6. Step 6: Final answer
    x = 12,184.86

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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.