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Finding the Fourth Proportional to 13,093.16, 19,642.86 and 3,859.16

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Solution

The fourth proportional to 13,093.16, 19,642.86 and 3,859.16 is: 5,789.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,093.16 : 19,642.86 = 3,859.16 : x
  2. Step 2: Convert to fraction form
    13,093.16/19,642.86 = 3,859.16/x
  3. Step 3: Cross multiply
    13,093.16x = 19,642.86 × 3,859.16
  4. Step 4: Simplify right side
    13,093.16x = 75,804,939.60
  5. Step 5: Solve for x
    x = 75,804,939.60/13,093.16
  6. Step 6: Final answer
    x = 5,789.66

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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.