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Finding the Fourth Proportional to 27,413.44, 37,830.54 and 14,838.19

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Solution

The fourth proportional to 27,413.44, 37,830.54 and 14,838.19 is: 20,476.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,413.44 : 37,830.54 = 14,838.19 : x
  2. Step 2: Convert to fraction form
    27,413.44/37,830.54 = 14,838.19/x
  3. Step 3: Cross multiply
    27,413.44x = 37,830.54 × 14,838.19
  4. Step 4: Simplify right side
    27,413.44x = 561,336,701.39
  5. Step 5: Solve for x
    x = 561,336,701.39/27,413.44
  6. Step 6: Final answer
    x = 20,476.70

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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.