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Finding the Fourth Proportional to 21,708.52, 32,563.78 and 9,226.76

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Solution

The fourth proportional to 21,708.52, 32,563.78 and 9,226.76 is: 13,840.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,708.52 : 32,563.78 = 9,226.76 : x
  2. Step 2: Convert to fraction form
    21,708.52/32,563.78 = 9,226.76/x
  3. Step 3: Cross multiply
    21,708.52x = 32,563.78 × 9,226.76
  4. Step 4: Simplify right side
    21,708.52x = 300,458,182.75
  5. Step 5: Solve for x
    x = 300,458,182.75/21,708.52
  6. Step 6: Final answer
    x = 13,840.57

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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.