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Finding the Fourth Proportional to 21,685.12, 32,513.74 and 9,201.80

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Solution

The fourth proportional to 21,685.12, 32,513.74 and 9,201.80 is: 13,796.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,685.12 : 32,513.74 = 9,201.80 : x
  2. Step 2: Convert to fraction form
    21,685.12/32,513.74 = 9,201.80/x
  3. Step 3: Cross multiply
    21,685.12x = 32,513.74 × 9,201.80
  4. Step 4: Simplify right side
    21,685.12x = 299,184,991.01
  5. Step 5: Solve for x
    x = 299,184,991.01/21,685.12
  6. Step 6: Final answer
    x = 13,796.79

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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.