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Finding the Fourth Proportional to 11,413.84, 17,092.80 and 9,427.32

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Solution

The fourth proportional to 11,413.84, 17,092.80 and 9,427.32 is: 14,117.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,413.84 : 17,092.80 = 9,427.32 : x
  2. Step 2: Convert to fraction form
    11,413.84/17,092.80 = 9,427.32/x
  3. Step 3: Cross multiply
    11,413.84x = 17,092.80 × 9,427.32
  4. Step 4: Simplify right side
    11,413.84x = 161,139,295.30
  5. Step 5: Solve for x
    x = 161,139,295.30/11,413.84
  6. Step 6: Final answer
    x = 14,117.89

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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.