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Finding the Fourth Proportional to 27,698.14, 38,222.94 and 15,761.22

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Solution

The fourth proportional to 27,698.14, 38,222.94 and 15,761.22 is: 21,750.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,698.14 : 38,222.94 = 15,761.22 : x
  2. Step 2: Convert to fraction form
    27,698.14/38,222.94 = 15,761.22/x
  3. Step 3: Cross multiply
    27,698.14x = 38,222.94 × 15,761.22
  4. Step 4: Simplify right side
    27,698.14x = 602,439,993.50
  5. Step 5: Solve for x
    x = 602,439,993.50/27,698.14
  6. Step 6: Final answer
    x = 21,750.20

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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.