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Finding the Fourth Proportional to 14,575.86, 20,114.06 and 8,202.38

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Solution

The fourth proportional to 14,575.86, 20,114.06 and 8,202.38 is: 11,318.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,575.86 : 20,114.06 = 8,202.38 : x
  2. Step 2: Convert to fraction form
    14,575.86/20,114.06 = 8,202.38/x
  3. Step 3: Cross multiply
    14,575.86x = 20,114.06 × 8,202.38
  4. Step 4: Simplify right side
    14,575.86x = 164,983,021.88
  5. Step 5: Solve for x
    x = 164,983,021.88/14,575.86
  6. Step 6: Final answer
    x = 11,318.92

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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.