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Finding the Fourth Proportional to 18,205.44, 27,312.32 and 7,820.16

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Solution

The fourth proportional to 18,205.44, 27,312.32 and 7,820.16 is: 11,732.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,205.44 : 27,312.32 = 7,820.16 : x
  2. Step 2: Convert to fraction form
    18,205.44/27,312.32 = 7,820.16/x
  3. Step 3: Cross multiply
    18,205.44x = 27,312.32 × 7,820.16
  4. Step 4: Simplify right side
    18,205.44x = 213,586,712.37
  5. Step 5: Solve for x
    x = 213,586,712.37/18,205.44
  6. Step 6: Final answer
    x = 11,732.03

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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.