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Finding the Fourth Proportional to 17,704.83, 26,557.29 and 7,841.46

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Solution

The fourth proportional to 17,704.83, 26,557.29 and 7,841.46 is: 11,762.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,704.83 : 26,557.29 = 7,841.46 : x
  2. Step 2: Convert to fraction form
    17,704.83/26,557.29 = 7,841.46/x
  3. Step 3: Cross multiply
    17,704.83x = 26,557.29 × 7,841.46
  4. Step 4: Simplify right side
    17,704.83x = 208,247,927.24
  5. Step 5: Solve for x
    x = 208,247,927.24/17,704.83
  6. Step 6: Final answer
    x = 11,762.21

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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.