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Finding the Fourth Proportional to 13,493.52, 18,623.32 and 8,191.87

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Solution

The fourth proportional to 13,493.52, 18,623.32 and 8,191.87 is: 11,306.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,493.52 : 18,623.32 = 8,191.87 : x
  2. Step 2: Convert to fraction form
    13,493.52/18,623.32 = 8,191.87/x
  3. Step 3: Cross multiply
    13,493.52x = 18,623.32 × 8,191.87
  4. Step 4: Simplify right side
    13,493.52x = 152,559,749.37
  5. Step 5: Solve for x
    x = 152,559,749.37/13,493.52
  6. Step 6: Final answer
    x = 11,306.15

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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.