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Finding the Fourth Proportional to 13,878.81, 19,151.24 and 8,213.74

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Solution

The fourth proportional to 13,878.81, 19,151.24 and 8,213.74 is: 11,334.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,878.81 : 19,151.24 = 8,213.74 : x
  2. Step 2: Convert to fraction form
    13,878.81/19,151.24 = 8,213.74/x
  3. Step 3: Cross multiply
    13,878.81x = 19,151.24 × 8,213.74
  4. Step 4: Simplify right side
    13,878.81x = 157,303,217.09
  5. Step 5: Solve for x
    x = 157,303,217.09/13,878.81
  6. Step 6: Final answer
    x = 11,334.06

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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.