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Finding the Fourth Proportional to 17,650.47, 26,468.67 and 7,782.75

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Solution

The fourth proportional to 17,650.47, 26,468.67 and 7,782.75 is: 11,671.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,650.47 : 26,468.67 = 7,782.75 : x
  2. Step 2: Convert to fraction form
    17,650.47/26,468.67 = 7,782.75/x
  3. Step 3: Cross multiply
    17,650.47x = 26,468.67 × 7,782.75
  4. Step 4: Simplify right side
    17,650.47x = 205,999,070.63
  5. Step 5: Solve for x
    x = 205,999,070.63/17,650.47
  6. Step 6: Final answer
    x = 11,671.02

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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.