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Finding the Fourth Proportional to 27,706.05, 38,232.81 and 15,769.49

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Solution

The fourth proportional to 27,706.05, 38,232.81 and 15,769.49 is: 21,761.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,706.05 : 38,232.81 = 15,769.49 : x
  2. Step 2: Convert to fraction form
    27,706.05/38,232.81 = 15,769.49/x
  3. Step 3: Cross multiply
    27,706.05x = 38,232.81 × 15,769.49
  4. Step 4: Simplify right side
    27,706.05x = 602,911,723.80
  5. Step 5: Solve for x
    x = 602,911,723.80/27,706.05
  6. Step 6: Final answer
    x = 21,761.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.