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Finding the Fourth Proportional to 11,801.49, 17,726.53 and 11,407.83

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Solution

The fourth proportional to 11,801.49, 17,726.53 and 11,407.83 is: 17,135.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,801.49 : 17,726.53 = 11,407.83 : x
  2. Step 2: Convert to fraction form
    11,801.49/17,726.53 = 11,407.83/x
  3. Step 3: Cross multiply
    11,801.49x = 17,726.53 × 11,407.83
  4. Step 4: Simplify right side
    11,801.49x = 202,221,240.73
  5. Step 5: Solve for x
    x = 202,221,240.73/11,801.49
  6. Step 6: Final answer
    x = 17,135.23

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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.