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Finding the Fourth Proportional to 13,713.57, 18,926.74 and 8,051.44

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Solution

The fourth proportional to 13,713.57, 18,926.74 and 8,051.44 is: 11,112.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,713.57 : 18,926.74 = 8,051.44 : x
  2. Step 2: Convert to fraction form
    13,713.57/18,926.74 = 8,051.44/x
  3. Step 3: Cross multiply
    13,713.57x = 18,926.74 × 8,051.44
  4. Step 4: Simplify right side
    13,713.57x = 152,387,416.87
  5. Step 5: Solve for x
    x = 152,387,416.87/13,713.57
  6. Step 6: Final answer
    x = 11,112.17

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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.