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Finding the Fourth Proportional to 23,289.58, 32,140.41 and 13,082.42

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Solution

The fourth proportional to 23,289.58, 32,140.41 and 13,082.42 is: 18,054.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,289.58 : 32,140.41 = 13,082.42 : x
  2. Step 2: Convert to fraction form
    23,289.58/32,140.41 = 13,082.42/x
  3. Step 3: Cross multiply
    23,289.58x = 32,140.41 × 13,082.42
  4. Step 4: Simplify right side
    23,289.58x = 420,474,342.59
  5. Step 5: Solve for x
    x = 420,474,342.59/23,289.58
  6. Step 6: Final answer
    x = 18,054.18

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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.