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Finding the Fourth Proportional to 12,154.64, 16,763.72 and 9,170.96

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Solution

The fourth proportional to 12,154.64, 16,763.72 and 9,170.96 is: 12,648.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,154.64 : 16,763.72 = 9,170.96 : x
  2. Step 2: Convert to fraction form
    12,154.64/16,763.72 = 9,170.96/x
  3. Step 3: Cross multiply
    12,154.64x = 16,763.72 × 9,170.96
  4. Step 4: Simplify right side
    12,154.64x = 153,739,405.57
  5. Step 5: Solve for x
    x = 153,739,405.57/12,154.64
  6. Step 6: Final answer
    x = 12,648.62

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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.