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Finding the Fourth Proportional to 13,999.69, 19,319.97 and 8,032.42

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Solution

The fourth proportional to 13,999.69, 19,319.97 and 8,032.42 is: 11,084.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,999.69 : 19,319.97 = 8,032.42 : x
  2. Step 2: Convert to fraction form
    13,999.69/19,319.97 = 8,032.42/x
  3. Step 3: Cross multiply
    13,999.69x = 19,319.97 × 8,032.42
  4. Step 4: Simplify right side
    13,999.69x = 155,186,113.43
  5. Step 5: Solve for x
    x = 155,186,113.43/13,999.69
  6. Step 6: Final answer
    x = 11,084.97

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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.