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Finding the Fourth Proportional to 22,182.64, 33,243.43 and 9,713.10

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Solution

The fourth proportional to 22,182.64, 33,243.43 and 9,713.10 is: 14,556.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,182.64 : 33,243.43 = 9,713.10 : x
  2. Step 2: Convert to fraction form
    22,182.64/33,243.43 = 9,713.10/x
  3. Step 3: Cross multiply
    22,182.64x = 33,243.43 × 9,713.10
  4. Step 4: Simplify right side
    22,182.64x = 322,896,759.93
  5. Step 5: Solve for x
    x = 322,896,759.93/22,182.64
  6. Step 6: Final answer
    x = 14,556.28

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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.