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Finding the Fourth Proportional to 30,999.69, 46,473.39 and 13,456.29

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Solution

The fourth proportional to 30,999.69, 46,473.39 and 13,456.29 is: 20,173.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,999.69 : 46,473.39 = 13,456.29 : x
  2. Step 2: Convert to fraction form
    30,999.69/46,473.39 = 13,456.29/x
  3. Step 3: Cross multiply
    30,999.69x = 46,473.39 × 13,456.29
  4. Step 4: Simplify right side
    30,999.69x = 625,359,413.12
  5. Step 5: Solve for x
    x = 625,359,413.12/30,999.69
  6. Step 6: Final answer
    x = 20,173.09

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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.