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Finding the Fourth Proportional to 14,780.84, 20,400.90 and 10,067

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Solution

The fourth proportional to 14,780.84, 20,400.90 and 10,067 is: 13,894.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,780.84 : 20,400.90 = 10,067 : x
  2. Step 2: Convert to fraction form
    14,780.84/20,400.90 = 10,067/x
  3. Step 3: Cross multiply
    14,780.84x = 20,400.90 × 10,067
  4. Step 4: Simplify right side
    14,780.84x = 205,375,860.30
  5. Step 5: Solve for x
    x = 205,375,860.30/14,780.84
  6. Step 6: Final answer
    x = 13,894.74

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