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Finding the Fourth Proportional to 13,787.86, 19,027.14 and 7,500.22

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Solution

The fourth proportional to 13,787.86, 19,027.14 and 7,500.22 is: 10,350.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,787.86 : 19,027.14 = 7,500.22 : x
  2. Step 2: Convert to fraction form
    13,787.86/19,027.14 = 7,500.22/x
  3. Step 3: Cross multiply
    13,787.86x = 19,027.14 × 7,500.22
  4. Step 4: Simplify right side
    13,787.86x = 142,707,735.97
  5. Step 5: Solve for x
    x = 142,707,735.97/13,787.86
  6. Step 6: Final answer
    x = 10,350.25

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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.