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Finding the Fourth Proportional to 13,877.92, 19,151.04 and 8,213.68

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Solution

The fourth proportional to 13,877.92, 19,151.04 and 8,213.68 is: 11,334.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,877.92 : 19,151.04 = 8,213.68 : x
  2. Step 2: Convert to fraction form
    13,877.92/19,151.04 = 8,213.68/x
  3. Step 3: Cross multiply
    13,877.92x = 19,151.04 × 8,213.68
  4. Step 4: Simplify right side
    13,877.92x = 157,300,514.23
  5. Step 5: Solve for x
    x = 157,300,514.23/13,877.92
  6. Step 6: Final answer
    x = 11,334.59

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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.