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Finding the Fourth Proportional to 21,195.61, 31,793.70 and 6,404.65

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Solution

The fourth proportional to 21,195.61, 31,793.70 and 6,404.65 is: 9,607.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,195.61 : 31,793.70 = 6,404.65 : x
  2. Step 2: Convert to fraction form
    21,195.61/31,793.70 = 6,404.65/x
  3. Step 3: Cross multiply
    21,195.61x = 31,793.70 × 6,404.65
  4. Step 4: Simplify right side
    21,195.61x = 203,627,329.71
  5. Step 5: Solve for x
    x = 203,627,329.71/21,195.61
  6. Step 6: Final answer
    x = 9,607.05

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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.