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Finding the Fourth Proportional to 22,663.37, 31,282.13 and 13,234.16

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Solution

The fourth proportional to 22,663.37, 31,282.13 and 13,234.16 is: 18,267.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,663.37 : 31,282.13 = 13,234.16 : x
  2. Step 2: Convert to fraction form
    22,663.37/31,282.13 = 13,234.16/x
  3. Step 3: Cross multiply
    22,663.37x = 31,282.13 × 13,234.16
  4. Step 4: Simplify right side
    22,663.37x = 413,992,713.56
  5. Step 5: Solve for x
    x = 413,992,713.56/22,663.37
  6. Step 6: Final answer
    x = 18,267.04

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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.