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Finding the Fourth Proportional to 21,238.67, 31,838.11 and 7,188.87

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Solution

The fourth proportional to 21,238.67, 31,838.11 and 7,188.87 is: 10,776.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,238.67 : 31,838.11 = 7,188.87 : x
  2. Step 2: Convert to fraction form
    21,238.67/31,838.11 = 7,188.87/x
  3. Step 3: Cross multiply
    21,238.67x = 31,838.11 × 7,188.87
  4. Step 4: Simplify right side
    21,238.67x = 228,879,856.67
  5. Step 5: Solve for x
    x = 228,879,856.67/21,238.67
  6. Step 6: Final answer
    x = 10,776.56

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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.