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Finding the Fourth Proportional to 22,383.64, 33,570.66 and 9,232.60

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Solution

The fourth proportional to 22,383.64, 33,570.66 and 9,232.60 is: 13,846.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,383.64 : 33,570.66 = 9,232.60 : x
  2. Step 2: Convert to fraction form
    22,383.64/33,570.66 = 9,232.60/x
  3. Step 3: Cross multiply
    22,383.64x = 33,570.66 × 9,232.60
  4. Step 4: Simplify right side
    22,383.64x = 309,944,475.52
  5. Step 5: Solve for x
    x = 309,944,475.52/22,383.64
  6. Step 6: Final answer
    x = 13,846.92

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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.