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Finding the Fourth Proportional to 13,416.33, 18,514.71 and 8,110.20

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Solution

The fourth proportional to 13,416.33, 18,514.71 and 8,110.20 is: 11,192.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,416.33 : 18,514.71 = 8,110.20 : x
  2. Step 2: Convert to fraction form
    13,416.33/18,514.71 = 8,110.20/x
  3. Step 3: Cross multiply
    13,416.33x = 18,514.71 × 8,110.20
  4. Step 4: Simplify right side
    13,416.33x = 150,158,001.04
  5. Step 5: Solve for x
    x = 150,158,001.04/13,416.33
  6. Step 6: Final answer
    x = 11,192.18

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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.