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Finding the Fourth Proportional to 19,977.90, 27,551.71 and 12,896.88

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Solution

The fourth proportional to 19,977.90, 27,551.71 and 12,896.88 is: 17,786.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,977.90 : 27,551.71 = 12,896.88 : x
  2. Step 2: Convert to fraction form
    19,977.90/27,551.71 = 12,896.88/x
  3. Step 3: Cross multiply
    19,977.90x = 27,551.71 × 12,896.88
  4. Step 4: Simplify right side
    19,977.90x = 355,331,097.66
  5. Step 5: Solve for x
    x = 355,331,097.66/19,977.90
  6. Step 6: Final answer
    x = 17,786.21

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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.