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Finding the Fourth Proportional to 21,029.98, 31,545.78 and 5,447.66

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Solution

The fourth proportional to 21,029.98, 31,545.78 and 5,447.66 is: 8,171.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,029.98 : 31,545.78 = 5,447.66 : x
  2. Step 2: Convert to fraction form
    21,029.98/31,545.78 = 5,447.66/x
  3. Step 3: Cross multiply
    21,029.98x = 31,545.78 × 5,447.66
  4. Step 4: Simplify right side
    21,029.98x = 171,850,683.87
  5. Step 5: Solve for x
    x = 171,850,683.87/21,029.98
  6. Step 6: Final answer
    x = 8,171.70

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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.