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Finding the Fourth Proportional to 21,245.72, 31,864.66 and 9,844.97

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Solution

The fourth proportional to 21,245.72, 31,864.66 and 9,844.97 is: 14,765.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,245.72 : 31,864.66 = 9,844.97 : x
  2. Step 2: Convert to fraction form
    21,245.72/31,864.66 = 9,844.97/x
  3. Step 3: Cross multiply
    21,245.72x = 31,864.66 × 9,844.97
  4. Step 4: Simplify right side
    21,245.72x = 313,706,437.82
  5. Step 5: Solve for x
    x = 313,706,437.82/21,245.72
  6. Step 6: Final answer
    x = 14,765.63

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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.