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Finding the Fourth Proportional to 12,642.30, 18,967.53 and 3,878.94

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Solution

The fourth proportional to 12,642.30, 18,967.53 and 3,878.94 is: 5,819.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,642.30 : 18,967.53 = 3,878.94 : x
  2. Step 2: Convert to fraction form
    12,642.30/18,967.53 = 3,878.94/x
  3. Step 3: Cross multiply
    12,642.30x = 18,967.53 × 3,878.94
  4. Step 4: Simplify right side
    12,642.30x = 73,573,910.82
  5. Step 5: Solve for x
    x = 73,573,910.82/12,642.30
  6. Step 6: Final answer
    x = 5,819.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.