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Finding the Fourth Proportional to 21,461.63, 32,198.04 and 8,134.70

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Solution

The fourth proportional to 21,461.63, 32,198.04 and 8,134.70 is: 12,204.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,461.63 : 32,198.04 = 8,134.70 : x
  2. Step 2: Convert to fraction form
    21,461.63/32,198.04 = 8,134.70/x
  3. Step 3: Cross multiply
    21,461.63x = 32,198.04 × 8,134.70
  4. Step 4: Simplify right side
    21,461.63x = 261,921,235.00
  5. Step 5: Solve for x
    x = 261,921,235.00/21,461.63
  6. Step 6: Final answer
    x = 12,204.17

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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.