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Finding the Fourth Proportional to 23,353.57, 32,228.64 and 13,283.46

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Solution

The fourth proportional to 23,353.57, 32,228.64 and 13,283.46 is: 18,331.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,353.57 : 32,228.64 = 13,283.46 : x
  2. Step 2: Convert to fraction form
    23,353.57/32,228.64 = 13,283.46/x
  3. Step 3: Cross multiply
    23,353.57x = 32,228.64 × 13,283.46
  4. Step 4: Simplify right side
    23,353.57x = 428,107,850.29
  5. Step 5: Solve for x
    x = 428,107,850.29/23,353.57
  6. Step 6: Final answer
    x = 18,331.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.