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Finding the Fourth Proportional to 18,205.32, 27,295.92 and 7,113.06

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Solution

The fourth proportional to 18,205.32, 27,295.92 and 7,113.06 is: 10,664.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,205.32 : 27,295.92 = 7,113.06 : x
  2. Step 2: Convert to fraction form
    18,205.32/27,295.92 = 7,113.06/x
  3. Step 3: Cross multiply
    18,205.32x = 27,295.92 × 7,113.06
  4. Step 4: Simplify right side
    18,205.32x = 194,157,516.72
  5. Step 5: Solve for x
    x = 194,157,516.72/18,205.32
  6. Step 6: Final answer
    x = 10,664.88

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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.