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Finding the Fourth Proportional to 27,830.88, 38,413.59 and 15,901.13

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Solution

The fourth proportional to 27,830.88, 38,413.59 and 15,901.13 is: 21,947.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,830.88 : 38,413.59 = 15,901.13 : x
  2. Step 2: Convert to fraction form
    27,830.88/38,413.59 = 15,901.13/x
  3. Step 3: Cross multiply
    27,830.88x = 38,413.59 × 15,901.13
  4. Step 4: Simplify right side
    27,830.88x = 610,819,584.39
  5. Step 5: Solve for x
    x = 610,819,584.39/27,830.88
  6. Step 6: Final answer
    x = 21,947.55

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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.