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Finding the Fourth Proportional to 14,665.50, 20,238.42 and 8,377.86

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Solution

The fourth proportional to 14,665.50, 20,238.42 and 8,377.86 is: 11,561.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,665.50 : 20,238.42 = 8,377.86 : x
  2. Step 2: Convert to fraction form
    14,665.50/20,238.42 = 8,377.86/x
  3. Step 3: Cross multiply
    14,665.50x = 20,238.42 × 8,377.86
  4. Step 4: Simplify right side
    14,665.50x = 169,554,649.38
  5. Step 5: Solve for x
    x = 169,554,649.38/14,665.50
  6. Step 6: Final answer
    x = 11,561.46

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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.