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Finding the Fourth Proportional to 21,113.09, 31,671.86 and 8,631.13

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Solution

The fourth proportional to 21,113.09, 31,671.86 and 8,631.13 is: 12,947.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,113.09 : 31,671.86 = 8,631.13 : x
  2. Step 2: Convert to fraction form
    21,113.09/31,671.86 = 8,631.13/x
  3. Step 3: Cross multiply
    21,113.09x = 31,671.86 × 8,631.13
  4. Step 4: Simplify right side
    21,113.09x = 273,364,015.68
  5. Step 5: Solve for x
    x = 273,364,015.68/21,113.09
  6. Step 6: Final answer
    x = 12,947.61

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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.