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Finding the Fourth Proportional to 13,891.83, 19,167.67 and 8,223.76

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Solution

The fourth proportional to 13,891.83, 19,167.67 and 8,223.76 is: 11,346.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,891.83 : 19,167.67 = 8,223.76 : x
  2. Step 2: Convert to fraction form
    13,891.83/19,167.67 = 8,223.76/x
  3. Step 3: Cross multiply
    13,891.83x = 19,167.67 × 8,223.76
  4. Step 4: Simplify right side
    13,891.83x = 157,630,317.84
  5. Step 5: Solve for x
    x = 157,630,317.84/13,891.83
  6. Step 6: Final answer
    x = 11,346.98

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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.