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Finding the Fourth Proportional to 26,380.43, 36,404.98 and 14,443.76

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Solution

The fourth proportional to 26,380.43, 36,404.98 and 14,443.76 is: 19,932.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,380.43 : 36,404.98 = 14,443.76 : x
  2. Step 2: Convert to fraction form
    26,380.43/36,404.98 = 14,443.76/x
  3. Step 3: Cross multiply
    26,380.43x = 36,404.98 × 14,443.76
  4. Step 4: Simplify right side
    26,380.43x = 525,824,575.79
  5. Step 5: Solve for x
    x = 525,824,575.79/26,380.43
  6. Step 6: Final answer
    x = 19,932.38

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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.