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Finding the Fourth Proportional to 14,893.13, 22,327.94 and 10,198.91

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Solution

The fourth proportional to 14,893.13, 22,327.94 and 10,198.91 is: 15,290.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,893.13 : 22,327.94 = 10,198.91 : x
  2. Step 2: Convert to fraction form
    14,893.13/22,327.94 = 10,198.91/x
  3. Step 3: Cross multiply
    14,893.13x = 22,327.94 × 10,198.91
  4. Step 4: Simplify right side
    14,893.13x = 227,720,731.86
  5. Step 5: Solve for x
    x = 227,720,731.86/14,893.13
  6. Step 6: Final answer
    x = 15,290.32

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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.