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Finding the Fourth Proportional to 21,196.01, 31,793.94 and 6,406.13

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Solution

The fourth proportional to 21,196.01, 31,793.94 and 6,406.13 is: 9,609.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,196.01 : 31,793.94 = 6,406.13 : x
  2. Step 2: Convert to fraction form
    21,196.01/31,793.94 = 6,406.13/x
  3. Step 3: Cross multiply
    21,196.01x = 31,793.94 × 6,406.13
  4. Step 4: Simplify right side
    21,196.01x = 203,675,953.88
  5. Step 5: Solve for x
    x = 203,675,953.88/21,196.01
  6. Step 6: Final answer
    x = 9,609.17

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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.