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Finding the Fourth Proportional to 17,777.34, 26,646.84 and 9,448.97

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Solution

The fourth proportional to 17,777.34, 26,646.84 and 9,448.97 is: 14,163.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,777.34 : 26,646.84 = 9,448.97 : x
  2. Step 2: Convert to fraction form
    17,777.34/26,646.84 = 9,448.97/x
  3. Step 3: Cross multiply
    17,777.34x = 26,646.84 × 9,448.97
  4. Step 4: Simplify right side
    17,777.34x = 251,785,058.52
  5. Step 5: Solve for x
    x = 251,785,058.52/17,777.34
  6. Step 6: Final answer
    x = 14,163.26

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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.