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Finding the Fourth Proportional to 14,161.22, 19,544.01 and 8,192.78

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Solution

The fourth proportional to 14,161.22, 19,544.01 and 8,192.78 is: 11,306.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,161.22 : 19,544.01 = 8,192.78 : x
  2. Step 2: Convert to fraction form
    14,161.22/19,544.01 = 8,192.78/x
  3. Step 3: Cross multiply
    14,161.22x = 19,544.01 × 8,192.78
  4. Step 4: Simplify right side
    14,161.22x = 160,119,774.25
  5. Step 5: Solve for x
    x = 160,119,774.25/14,161.22
  6. Step 6: Final answer
    x = 11,306.92

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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.