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Finding the Fourth Proportional to 13,143.75, 18,138.39 and 8,434.41

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Solution

The fourth proportional to 13,143.75, 18,138.39 and 8,434.41 is: 11,639.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,143.75 : 18,138.39 = 8,434.41 : x
  2. Step 2: Convert to fraction form
    13,143.75/18,138.39 = 8,434.41/x
  3. Step 3: Cross multiply
    13,143.75x = 18,138.39 × 8,434.41
  4. Step 4: Simplify right side
    13,143.75x = 152,986,618.00
  5. Step 5: Solve for x
    x = 152,986,618.00/13,143.75
  6. Step 6: Final answer
    x = 11,639.50

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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.