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Finding the Fourth Proportional to 16,197.60, 22,364.16 and 11,949.12

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Solution

The fourth proportional to 16,197.60, 22,364.16 and 11,949.12 is: 16,498.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,197.60 : 22,364.16 = 11,949.12 : x
  2. Step 2: Convert to fraction form
    16,197.60/22,364.16 = 11,949.12/x
  3. Step 3: Cross multiply
    16,197.60x = 22,364.16 × 11,949.12
  4. Step 4: Simplify right side
    16,197.60x = 267,232,031.54
  5. Step 5: Solve for x
    x = 267,232,031.54/16,197.60
  6. Step 6: Final answer
    x = 16,498.25

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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.