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Finding the Fourth Proportional to 21,078.71, 29,075.88 and 13,906.07

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Solution

The fourth proportional to 21,078.71, 29,075.88 and 13,906.07 is: 19,181.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,078.71 : 29,075.88 = 13,906.07 : x
  2. Step 2: Convert to fraction form
    21,078.71/29,075.88 = 13,906.07/x
  3. Step 3: Cross multiply
    21,078.71x = 29,075.88 × 13,906.07
  4. Step 4: Simplify right side
    21,078.71x = 404,331,238.39
  5. Step 5: Solve for x
    x = 404,331,238.39/21,078.71
  6. Step 6: Final answer
    x = 19,181.97

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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.