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Finding the Fourth Proportional to 13,223.82, 18,246.86 and 8,514.48

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Solution

The fourth proportional to 13,223.82, 18,246.86 and 8,514.48 is: 11,748.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,223.82 : 18,246.86 = 8,514.48 : x
  2. Step 2: Convert to fraction form
    13,223.82/18,246.86 = 8,514.48/x
  3. Step 3: Cross multiply
    13,223.82x = 18,246.86 × 8,514.48
  4. Step 4: Simplify right side
    13,223.82x = 155,362,524.53
  5. Step 5: Solve for x
    x = 155,362,524.53/13,223.82
  6. Step 6: Final answer
    x = 11,748.69

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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.