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Finding the Fourth Proportional to 16,194.64, 22,348.20 and 9,120.64

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Solution

The fourth proportional to 16,194.64, 22,348.20 and 9,120.64 is: 12,586.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,194.64 : 22,348.20 = 9,120.64 : x
  2. Step 2: Convert to fraction form
    16,194.64/22,348.20 = 9,120.64/x
  3. Step 3: Cross multiply
    16,194.64x = 22,348.20 × 9,120.64
  4. Step 4: Simplify right side
    16,194.64x = 203,829,886.85
  5. Step 5: Solve for x
    x = 203,829,886.85/16,194.64
  6. Step 6: Final answer
    x = 12,586.26

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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.