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Finding the Fourth Proportional to 17,709.68, 26,544.54 and 7,847.66

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Solution

The fourth proportional to 17,709.68, 26,544.54 and 7,847.66 is: 11,762.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,709.68 : 26,544.54 = 7,847.66 : x
  2. Step 2: Convert to fraction form
    17,709.68/26,544.54 = 7,847.66/x
  3. Step 3: Cross multiply
    17,709.68x = 26,544.54 × 7,847.66
  4. Step 4: Simplify right side
    17,709.68x = 208,312,524.78
  5. Step 5: Solve for x
    x = 208,312,524.78/17,709.68
  6. Step 6: Final answer
    x = 11,762.64

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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.