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Finding the Fourth Proportional to 14,077.69, 19,431.54 and 8,113.33

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Solution

The fourth proportional to 14,077.69, 19,431.54 and 8,113.33 is: 11,198.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,077.69 : 19,431.54 = 8,113.33 : x
  2. Step 2: Convert to fraction form
    14,077.69/19,431.54 = 8,113.33/x
  3. Step 3: Cross multiply
    14,077.69x = 19,431.54 × 8,113.33
  4. Step 4: Simplify right side
    14,077.69x = 157,654,497.90
  5. Step 5: Solve for x
    x = 157,654,497.90/14,077.69
  6. Step 6: Final answer
    x = 11,198.89

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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.