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Finding the Fourth Proportional to 22,509.41, 33,769.56 and 6,713.79

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Solution

The fourth proportional to 22,509.41, 33,769.56 and 6,713.79 is: 10,072.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,509.41 : 33,769.56 = 6,713.79 : x
  2. Step 2: Convert to fraction form
    22,509.41/33,769.56 = 6,713.79/x
  3. Step 3: Cross multiply
    22,509.41x = 33,769.56 × 6,713.79
  4. Step 4: Simplify right side
    22,509.41x = 226,721,734.23
  5. Step 5: Solve for x
    x = 226,721,734.23/22,509.41
  6. Step 6: Final answer
    x = 10,072.31

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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.