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Finding the Fourth Proportional to 21,238.72, 31,858.14 and 6,447.76

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Solution

The fourth proportional to 21,238.72, 31,858.14 and 6,447.76 is: 9,671.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,238.72 : 31,858.14 = 6,447.76 : x
  2. Step 2: Convert to fraction form
    21,238.72/31,858.14 = 6,447.76/x
  3. Step 3: Cross multiply
    21,238.72x = 31,858.14 × 6,447.76
  4. Step 4: Simplify right side
    21,238.72x = 205,413,640.77
  5. Step 5: Solve for x
    x = 205,413,640.77/21,238.72
  6. Step 6: Final answer
    x = 9,671.66

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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.