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Finding the Fourth Proportional to 21,238.82, 31,838.32 and 7,189.02

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Solution

The fourth proportional to 21,238.82, 31,838.32 and 7,189.02 is: 10,776.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,238.82 : 31,838.32 = 7,189.02 : x
  2. Step 2: Convert to fraction form
    21,238.82/31,838.32 = 7,189.02/x
  3. Step 3: Cross multiply
    21,238.82x = 31,838.32 × 7,189.02
  4. Step 4: Simplify right side
    21,238.82x = 228,886,160.05
  5. Step 5: Solve for x
    x = 228,886,160.05/21,238.82
  6. Step 6: Final answer
    x = 10,776.78

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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.