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Finding the Fourth Proportional to 12,162.16, 18,245.76 and 5,142.16

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Solution

The fourth proportional to 12,162.16, 18,245.76 and 5,142.16 is: 7,714.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,162.16 : 18,245.76 = 5,142.16 : x
  2. Step 2: Convert to fraction form
    12,162.16/18,245.76 = 5,142.16/x
  3. Step 3: Cross multiply
    12,162.16x = 18,245.76 × 5,142.16
  4. Step 4: Simplify right side
    12,162.16x = 93,822,617.24
  5. Step 5: Solve for x
    x = 93,822,617.24/12,162.16
  6. Step 6: Final answer
    x = 7,714.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.