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Finding the Fourth Proportional to 27,413.72, 37,830.99 and 14,838.47

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Solution

The fourth proportional to 27,413.72, 37,830.99 and 14,838.47 is: 20,477.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,413.72 : 37,830.99 = 14,838.47 : x
  2. Step 2: Convert to fraction form
    27,413.72/37,830.99 = 14,838.47/x
  3. Step 3: Cross multiply
    27,413.72x = 37,830.99 × 14,838.47
  4. Step 4: Simplify right side
    27,413.72x = 561,354,010.19
  5. Step 5: Solve for x
    x = 561,354,010.19/27,413.72
  6. Step 6: Final answer
    x = 20,477.12

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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.