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Finding the Fourth Proportional to 19,706.82, 27,206.46 and 13,665.84

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Solution

The fourth proportional to 19,706.82, 27,206.46 and 13,665.84 is: 18,866.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,706.82 : 27,206.46 = 13,665.84 : x
  2. Step 2: Convert to fraction form
    19,706.82/27,206.46 = 13,665.84/x
  3. Step 3: Cross multiply
    19,706.82x = 27,206.46 × 13,665.84
  4. Step 4: Simplify right side
    19,706.82x = 371,799,129.33
  5. Step 5: Solve for x
    x = 371,799,129.33/19,706.82
  6. Step 6: Final answer
    x = 18,866.52

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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.