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Finding the Fourth Proportional to 21,722.84, 32,599.80 and 9,251.60

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Solution

The fourth proportional to 21,722.84, 32,599.80 and 9,251.60 is: 13,884.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,722.84 : 32,599.80 = 9,251.60 : x
  2. Step 2: Convert to fraction form
    21,722.84/32,599.80 = 9,251.60/x
  3. Step 3: Cross multiply
    21,722.84x = 32,599.80 × 9,251.60
  4. Step 4: Simplify right side
    21,722.84x = 301,600,309.68
  5. Step 5: Solve for x
    x = 301,600,309.68/21,722.84
  6. Step 6: Final answer
    x = 13,884.02

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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.