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Finding the Fourth Proportional to 16,138.50, 22,272.35 and 9,852.09

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Solution

The fourth proportional to 16,138.50, 22,272.35 and 9,852.09 is: 13,596.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,138.50 : 22,272.35 = 9,852.09 : x
  2. Step 2: Convert to fraction form
    16,138.50/22,272.35 = 9,852.09/x
  3. Step 3: Cross multiply
    16,138.50x = 22,272.35 × 9,852.09
  4. Step 4: Simplify right side
    16,138.50x = 219,429,147.45
  5. Step 5: Solve for x
    x = 219,429,147.45/16,138.50
  6. Step 6: Final answer
    x = 13,596.63

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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.