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Finding the Fourth Proportional to 19,600.22, 27,047.97 and 10,647.86

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Solution

The fourth proportional to 19,600.22, 27,047.97 and 10,647.86 is: 14,693.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,600.22 : 27,047.97 = 10,647.86 : x
  2. Step 2: Convert to fraction form
    19,600.22/27,047.97 = 10,647.86/x
  3. Step 3: Cross multiply
    19,600.22x = 27,047.97 × 10,647.86
  4. Step 4: Simplify right side
    19,600.22x = 288,002,862.60
  5. Step 5: Solve for x
    x = 288,002,862.60/19,600.22
  6. Step 6: Final answer
    x = 14,693.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.