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Finding the Fourth Proportional to 12,844.52, 17,726.26 and 7,537.40

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Solution

The fourth proportional to 12,844.52, 17,726.26 and 7,537.40 is: 10,402.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,844.52 : 17,726.26 = 7,537.40 : x
  2. Step 2: Convert to fraction form
    12,844.52/17,726.26 = 7,537.40/x
  3. Step 3: Cross multiply
    12,844.52x = 17,726.26 × 7,537.40
  4. Step 4: Simplify right side
    12,844.52x = 133,609,912.12
  5. Step 5: Solve for x
    x = 133,609,912.12/12,844.52
  6. Step 6: Final answer
    x = 10,402.09

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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.