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Finding the Fourth Proportional to 13,167.83, 19,738.04 and 8,427.33

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Solution

The fourth proportional to 13,167.83, 19,738.04 and 8,427.33 is: 12,632.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,167.83 : 19,738.04 = 8,427.33 : x
  2. Step 2: Convert to fraction form
    13,167.83/19,738.04 = 8,427.33/x
  3. Step 3: Cross multiply
    13,167.83x = 19,738.04 × 8,427.33
  4. Step 4: Simplify right side
    13,167.83x = 166,338,934.50
  5. Step 5: Solve for x
    x = 166,338,934.50/13,167.83
  6. Step 6: Final answer
    x = 12,632.22

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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.