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Finding the Fourth Proportional to 27,413.49, 37,838.54 and 16,083.47

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Solution

The fourth proportional to 27,413.49, 37,838.54 and 16,083.47 is: 22,199.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,413.49 : 37,838.54 = 16,083.47 : x
  2. Step 2: Convert to fraction form
    27,413.49/37,838.54 = 16,083.47/x
  3. Step 3: Cross multiply
    27,413.49x = 37,838.54 × 16,083.47
  4. Step 4: Simplify right side
    27,413.49x = 608,574,753.32
  5. Step 5: Solve for x
    x = 608,574,753.32/27,413.49
  6. Step 6: Final answer
    x = 22,199.83

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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.