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Finding the Fourth Proportional to 21,726.84, 29,986.22 and 13,769.80

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Solution

The fourth proportional to 21,726.84, 29,986.22 and 13,769.80 is: 19,004.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,726.84 : 29,986.22 = 13,769.80 : x
  2. Step 2: Convert to fraction form
    21,726.84/29,986.22 = 13,769.80/x
  3. Step 3: Cross multiply
    21,726.84x = 29,986.22 × 13,769.80
  4. Step 4: Simplify right side
    21,726.84x = 412,904,252.16
  5. Step 5: Solve for x
    x = 412,904,252.16/21,726.84
  6. Step 6: Final answer
    x = 19,004.34

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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.