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Finding the Fourth Proportional to 21,006.78, 31,504.67 and 9,910.54

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Solution

The fourth proportional to 21,006.78, 31,504.67 and 9,910.54 is: 14,863.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,006.78 : 31,504.67 = 9,910.54 : x
  2. Step 2: Convert to fraction form
    21,006.78/31,504.67 = 9,910.54/x
  3. Step 3: Cross multiply
    21,006.78x = 31,504.67 × 9,910.54
  4. Step 4: Simplify right side
    21,006.78x = 312,228,292.22
  5. Step 5: Solve for x
    x = 312,228,292.22/21,006.78
  6. Step 6: Final answer
    x = 14,863.22

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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.