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Finding the Fourth Proportional to 21,847.57, 32,744.01 and 9,353.05

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Solution

The fourth proportional to 21,847.57, 32,744.01 and 9,353.05 is: 14,017.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,847.57 : 32,744.01 = 9,353.05 : x
  2. Step 2: Convert to fraction form
    21,847.57/32,744.01 = 9,353.05/x
  3. Step 3: Cross multiply
    21,847.57x = 32,744.01 × 9,353.05
  4. Step 4: Simplify right side
    21,847.57x = 306,256,199.01
  5. Step 5: Solve for x
    x = 306,256,199.01/21,847.57
  6. Step 6: Final answer
    x = 14,017.86

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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.