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Finding the Fourth Proportional to 23,227.26, 32,058.28 and 13,794

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Solution

The fourth proportional to 23,227.26, 32,058.28 and 13,794 is: 19,038.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,227.26 : 32,058.28 = 13,794 : x
  2. Step 2: Convert to fraction form
    23,227.26/32,058.28 = 13,794/x
  3. Step 3: Cross multiply
    23,227.26x = 32,058.28 × 13,794
  4. Step 4: Simplify right side
    23,227.26x = 442,211,914.32
  5. Step 5: Solve for x
    x = 442,211,914.32/23,227.26
  6. Step 6: Final answer
    x = 19,038.49

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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.