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Finding the Fourth Proportional to 21,016.39, 31,518.43 and 7,865.68

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Solution

The fourth proportional to 21,016.39, 31,518.43 and 7,865.68 is: 11,796.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,016.39 : 31,518.43 = 7,865.68 : x
  2. Step 2: Convert to fraction form
    21,016.39/31,518.43 = 7,865.68/x
  3. Step 3: Cross multiply
    21,016.39x = 31,518.43 × 7,865.68
  4. Step 4: Simplify right side
    21,016.39x = 247,913,944.83
  5. Step 5: Solve for x
    x = 247,913,944.83/21,016.39
  6. Step 6: Final answer
    x = 11,796.22

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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.