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Finding the Fourth Proportional to 27,988.71, 38,626.17 and 15,413.46

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Solution

The fourth proportional to 27,988.71, 38,626.17 and 15,413.46 is: 21,271.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,988.71 : 38,626.17 = 15,413.46 : x
  2. Step 2: Convert to fraction form
    27,988.71/38,626.17 = 15,413.46/x
  3. Step 3: Cross multiply
    27,988.71x = 38,626.17 × 15,413.46
  4. Step 4: Simplify right side
    27,988.71x = 595,362,733.12
  5. Step 5: Solve for x
    x = 595,362,733.12/27,988.71
  6. Step 6: Final answer
    x = 21,271.54

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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.