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Finding the Fourth Proportional to 23,082.28, 31,852.02 and 13,520.68

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Solution

The fourth proportional to 23,082.28, 31,852.02 and 13,520.68 is: 18,657.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,082.28 : 31,852.02 = 13,520.68 : x
  2. Step 2: Convert to fraction form
    23,082.28/31,852.02 = 13,520.68/x
  3. Step 3: Cross multiply
    23,082.28x = 31,852.02 × 13,520.68
  4. Step 4: Simplify right side
    23,082.28x = 430,660,969.77
  5. Step 5: Solve for x
    x = 430,660,969.77/23,082.28
  6. Step 6: Final answer
    x = 18,657.64

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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.