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Finding the Fourth Proportional to 14,656.23, 20,227.25 and 8,285.38

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Solution

The fourth proportional to 14,656.23, 20,227.25 and 8,285.38 is: 11,434.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,656.23 : 20,227.25 = 8,285.38 : x
  2. Step 2: Convert to fraction form
    14,656.23/20,227.25 = 8,285.38/x
  3. Step 3: Cross multiply
    14,656.23x = 20,227.25 × 8,285.38
  4. Step 4: Simplify right side
    14,656.23x = 167,590,422.75
  5. Step 5: Solve for x
    x = 167,590,422.75/14,656.23
  6. Step 6: Final answer
    x = 11,434.76

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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.