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Finding the Fourth Proportional to 13,757.86, 20,618.31 and 7,508.51

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Solution

The fourth proportional to 13,757.86, 20,618.31 and 7,508.51 is: 11,252.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,757.86 : 20,618.31 = 7,508.51 : x
  2. Step 2: Convert to fraction form
    13,757.86/20,618.31 = 7,508.51/x
  3. Step 3: Cross multiply
    13,757.86x = 20,618.31 × 7,508.51
  4. Step 4: Simplify right side
    13,757.86x = 154,812,786.82
  5. Step 5: Solve for x
    x = 154,812,786.82/13,757.86
  6. Step 6: Final answer
    x = 11,252.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.