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Finding the Fourth Proportional to 13,726.83, 18,943.05 and 7,439.21

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Solution

The fourth proportional to 13,726.83, 18,943.05 and 7,439.21 is: 10,266.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,726.83 : 18,943.05 = 7,439.21 : x
  2. Step 2: Convert to fraction form
    13,726.83/18,943.05 = 7,439.21/x
  3. Step 3: Cross multiply
    13,726.83x = 18,943.05 × 7,439.21
  4. Step 4: Simplify right side
    13,726.83x = 140,921,232.28
  5. Step 5: Solve for x
    x = 140,921,232.28/13,726.83
  6. Step 6: Final answer
    x = 10,266.12

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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.