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Finding the Fourth Proportional to 27,835.72, 38,413.02 and 15,260.44

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Solution

The fourth proportional to 27,835.72, 38,413.02 and 15,260.44 is: 21,059.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,835.72 : 38,413.02 = 15,260.44 : x
  2. Step 2: Convert to fraction form
    27,835.72/38,413.02 = 15,260.44/x
  3. Step 3: Cross multiply
    27,835.72x = 38,413.02 × 15,260.44
  4. Step 4: Simplify right side
    27,835.72x = 586,199,586.93
  5. Step 5: Solve for x
    x = 586,199,586.93/27,835.72
  6. Step 6: Final answer
    x = 21,059.26

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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.