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Finding the Fourth Proportional to 16,147.54, 22,276.85 and 11,661.49

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Solution

The fourth proportional to 16,147.54, 22,276.85 and 11,661.49 is: 16,087.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,147.54 : 22,276.85 = 11,661.49 : x
  2. Step 2: Convert to fraction form
    16,147.54/22,276.85 = 11,661.49/x
  3. Step 3: Cross multiply
    16,147.54x = 22,276.85 × 11,661.49
  4. Step 4: Simplify right side
    16,147.54x = 259,781,263.51
  5. Step 5: Solve for x
    x = 259,781,263.51/16,147.54
  6. Step 6: Final answer
    x = 16,087.98

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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.