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Finding the Fourth Proportional to 21,202.35, 31,811.82 and 6,412.76

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Solution

The fourth proportional to 21,202.35, 31,811.82 and 6,412.76 is: 9,621.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,202.35 : 31,811.82 = 6,412.76 : x
  2. Step 2: Convert to fraction form
    21,202.35/31,811.82 = 6,412.76/x
  3. Step 3: Cross multiply
    21,202.35x = 31,811.82 × 6,412.76
  4. Step 4: Simplify right side
    21,202.35x = 204,001,566.82
  5. Step 5: Solve for x
    x = 204,001,566.82/21,202.35
  6. Step 6: Final answer
    x = 9,621.65

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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.