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Finding the Fourth Proportional to 17,700.30, 26,544.33 and 7,846.47

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Solution

The fourth proportional to 17,700.30, 26,544.33 and 7,846.47 is: 11,766.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,700.30 : 26,544.33 = 7,846.47 : x
  2. Step 2: Convert to fraction form
    17,700.30/26,544.33 = 7,846.47/x
  3. Step 3: Cross multiply
    17,700.30x = 26,544.33 × 7,846.47
  4. Step 4: Simplify right side
    17,700.30x = 208,279,289.02
  5. Step 5: Solve for x
    x = 208,279,289.02/17,700.30
  6. Step 6: Final answer
    x = 11,766.99

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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.