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Finding the Fourth Proportional to 12,105.12, 16,706.92 and 7,392.16

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Solution

The fourth proportional to 12,105.12, 16,706.92 and 7,392.16 is: 10,202.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,105.12 : 16,706.92 = 7,392.16 : x
  2. Step 2: Convert to fraction form
    12,105.12/16,706.92 = 7,392.16/x
  3. Step 3: Cross multiply
    12,105.12x = 16,706.92 × 7,392.16
  4. Step 4: Simplify right side
    12,105.12x = 123,500,225.75
  5. Step 5: Solve for x
    x = 123,500,225.75/12,105.12
  6. Step 6: Final answer
    x = 10,202.31

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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.