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Finding the Fourth Proportional to 17,820.56, 26,713.20 and 8,444

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Solution

The fourth proportional to 17,820.56, 26,713.20 and 8,444 is: 12,657.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,820.56 : 26,713.20 = 8,444 : x
  2. Step 2: Convert to fraction form
    17,820.56/26,713.20 = 8,444/x
  3. Step 3: Cross multiply
    17,820.56x = 26,713.20 × 8,444
  4. Step 4: Simplify right side
    17,820.56x = 225,566,260.80
  5. Step 5: Solve for x
    x = 225,566,260.80/17,820.56
  6. Step 6: Final answer
    x = 12,657.64

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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.