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Finding the Fourth Proportional to 13,914.33, 19,201.08 and 7,864.44

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Solution

The fourth proportional to 13,914.33, 19,201.08 and 7,864.44 is: 10,852.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,914.33 : 19,201.08 = 7,864.44 : x
  2. Step 2: Convert to fraction form
    13,914.33/19,201.08 = 7,864.44/x
  3. Step 3: Cross multiply
    13,914.33x = 19,201.08 × 7,864.44
  4. Step 4: Simplify right side
    13,914.33x = 151,005,741.60
  5. Step 5: Solve for x
    x = 151,005,741.60/13,914.33
  6. Step 6: Final answer
    x = 10,852.53

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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.