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Finding the Fourth Proportional to 13,993.80, 19,315.26 and 8,256.30

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Solution

The fourth proportional to 13,993.80, 19,315.26 and 8,256.30 is: 11,395.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,993.80 : 19,315.26 = 8,256.30 : x
  2. Step 2: Convert to fraction form
    13,993.80/19,315.26 = 8,256.30/x
  3. Step 3: Cross multiply
    13,993.80x = 19,315.26 × 8,256.30
  4. Step 4: Simplify right side
    13,993.80x = 159,472,581.14
  5. Step 5: Solve for x
    x = 159,472,581.14/13,993.80
  6. Step 6: Final answer
    x = 11,395.95

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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.