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Finding the Fourth Proportional to 14,653.06, 20,222.67 and 8,366.38

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Solution

The fourth proportional to 14,653.06, 20,222.67 and 8,366.38 is: 11,546.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,653.06 : 20,222.67 = 8,366.38 : x
  2. Step 2: Convert to fraction form
    14,653.06/20,222.67 = 8,366.38/x
  3. Step 3: Cross multiply
    14,653.06x = 20,222.67 × 8,366.38
  4. Step 4: Simplify right side
    14,653.06x = 169,190,541.83
  5. Step 5: Solve for x
    x = 169,190,541.83/14,653.06
  6. Step 6: Final answer
    x = 11,546.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.