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Finding the Fourth Proportional to 11,189.97, 16,851.57 and 9,746.55

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Solution

The fourth proportional to 11,189.97, 16,851.57 and 9,746.55 is: 14,677.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,189.97 : 16,851.57 = 9,746.55 : x
  2. Step 2: Convert to fraction form
    11,189.97/16,851.57 = 9,746.55/x
  3. Step 3: Cross multiply
    11,189.97x = 16,851.57 × 9,746.55
  4. Step 4: Simplify right side
    11,189.97x = 164,244,620.85
  5. Step 5: Solve for x
    x = 164,244,620.85/11,189.97
  6. Step 6: Final answer
    x = 14,677.84

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.