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Finding the Fourth Proportional to 20,788.93, 31,163.95 and 7,637.77

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Solution

The fourth proportional to 20,788.93, 31,163.95 and 7,637.77 is: 11,449.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,788.93 : 31,163.95 = 7,637.77 : x
  2. Step 2: Convert to fraction form
    20,788.93/31,163.95 = 7,637.77/x
  3. Step 3: Cross multiply
    20,788.93x = 31,163.95 × 7,637.77
  4. Step 4: Simplify right side
    20,788.93x = 238,023,082.39
  5. Step 5: Solve for x
    x = 238,023,082.39/20,788.93
  6. Step 6: Final answer
    x = 11,449.51

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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.