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Finding the Fourth Proportional to 21,735.83, 32,610.74 and 9,893.84

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Solution

The fourth proportional to 21,735.83, 32,610.74 and 9,893.84 is: 14,843.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,735.83 : 32,610.74 = 9,893.84 : x
  2. Step 2: Convert to fraction form
    21,735.83/32,610.74 = 9,893.84/x
  3. Step 3: Cross multiply
    21,735.83x = 32,610.74 × 9,893.84
  4. Step 4: Simplify right side
    21,735.83x = 322,645,443.84
  5. Step 5: Solve for x
    x = 322,645,443.84/21,735.83
  6. Step 6: Final answer
    x = 14,843.94

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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.