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Finding the Fourth Proportional to 21,100.91, 31,656.83 and 9,422.33

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Solution

The fourth proportional to 21,100.91, 31,656.83 and 9,422.33 is: 14,135.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,100.91 : 31,656.83 = 9,422.33 : x
  2. Step 2: Convert to fraction form
    21,100.91/31,656.83 = 9,422.33/x
  3. Step 3: Cross multiply
    21,100.91x = 31,656.83 × 9,422.33
  4. Step 4: Simplify right side
    21,100.91x = 298,280,893.62
  5. Step 5: Solve for x
    x = 298,280,893.62/21,100.91
  6. Step 6: Final answer
    x = 14,135.93

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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.