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Finding the Fourth Proportional to 12,442.16, 18,661.08 and 4,234.16

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Solution

The fourth proportional to 12,442.16, 18,661.08 and 4,234.16 is: 6,350.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,442.16 : 18,661.08 = 4,234.16 : x
  2. Step 2: Convert to fraction form
    12,442.16/18,661.08 = 4,234.16/x
  3. Step 3: Cross multiply
    12,442.16x = 18,661.08 × 4,234.16
  4. Step 4: Simplify right side
    12,442.16x = 79,013,998.49
  5. Step 5: Solve for x
    x = 79,013,998.49/12,442.16
  6. Step 6: Final answer
    x = 6,350.50

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Why These Related Problems?

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