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Finding the Fourth Proportional to 13,426.36, 20,134.06 and 5,828.13

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Solution

The fourth proportional to 13,426.36, 20,134.06 and 5,828.13 is: 8,739.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,426.36 : 20,134.06 = 5,828.13 : x
  2. Step 2: Convert to fraction form
    13,426.36/20,134.06 = 5,828.13/x
  3. Step 3: Cross multiply
    13,426.36x = 20,134.06 × 5,828.13
  4. Step 4: Simplify right side
    13,426.36x = 117,344,005.87
  5. Step 5: Solve for x
    x = 117,344,005.87/13,426.36
  6. Step 6: Final answer
    x = 8,739.82

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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.