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Finding the Fourth Proportional to 27,772.97, 41,607.14 and 13,716.54

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Solution

The fourth proportional to 27,772.97, 41,607.14 and 13,716.54 is: 20,548.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,772.97 : 41,607.14 = 13,716.54 : x
  2. Step 2: Convert to fraction form
    27,772.97/41,607.14 = 13,716.54/x
  3. Step 3: Cross multiply
    27,772.97x = 41,607.14 × 13,716.54
  4. Step 4: Simplify right side
    27,772.97x = 570,705,931.51
  5. Step 5: Solve for x
    x = 570,705,931.51/27,772.97
  6. Step 6: Final answer
    x = 20,548.97

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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.