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Finding the Fourth Proportional to 21,134.59, 31,674.40 and 8,640.34

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Solution

The fourth proportional to 21,134.59, 31,674.40 and 8,640.34 is: 12,949.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,134.59 : 31,674.40 = 8,640.34 : x
  2. Step 2: Convert to fraction form
    21,134.59/31,674.40 = 8,640.34/x
  3. Step 3: Cross multiply
    21,134.59x = 31,674.40 × 8,640.34
  4. Step 4: Simplify right side
    21,134.59x = 273,677,585.30
  5. Step 5: Solve for x
    x = 273,677,585.30/21,134.59
  6. Step 6: Final answer
    x = 12,949.27

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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.