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Finding the Fourth Proportional to 17,820.46, 26,739.90 and 7,832.22

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Solution

The fourth proportional to 17,820.46, 26,739.90 and 7,832.22 is: 11,752.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,820.46 : 26,739.90 = 7,832.22 : x
  2. Step 2: Convert to fraction form
    17,820.46/26,739.90 = 7,832.22/x
  3. Step 3: Cross multiply
    17,820.46x = 26,739.90 × 7,832.22
  4. Step 4: Simplify right side
    17,820.46x = 209,432,779.58
  5. Step 5: Solve for x
    x = 209,432,779.58/17,820.46
  6. Step 6: Final answer
    x = 11,752.38

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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.