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Finding the Fourth Proportional to 16,138.24, 22,267.92 and 9,852.64

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Solution

The fourth proportional to 16,138.24, 22,267.92 and 9,852.64 is: 13,594.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,138.24 : 22,267.92 = 9,852.64 : x
  2. Step 2: Convert to fraction form
    16,138.24/22,267.92 = 9,852.64/x
  3. Step 3: Cross multiply
    16,138.24x = 22,267.92 × 9,852.64
  4. Step 4: Simplify right side
    16,138.24x = 219,397,799.31
  5. Step 5: Solve for x
    x = 219,397,799.31/16,138.24
  6. Step 6: Final answer
    x = 13,594.90

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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.