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Finding the Fourth Proportional to 21,717.80, 29,973.78 and 13,760.77

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Solution

The fourth proportional to 21,717.80, 29,973.78 and 13,760.77 is: 18,991.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,717.80 : 29,973.78 = 13,760.77 : x
  2. Step 2: Convert to fraction form
    21,717.80/29,973.78 = 13,760.77/x
  3. Step 3: Cross multiply
    21,717.80x = 29,973.78 × 13,760.77
  4. Step 4: Simplify right side
    21,717.80x = 412,462,142.74
  5. Step 5: Solve for x
    x = 412,462,142.74/21,717.80
  6. Step 6: Final answer
    x = 18,991.89

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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.