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Finding the Fourth Proportional to 13,527.92, 18,657.06 and 11,413.82

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Solution

The fourth proportional to 13,527.92, 18,657.06 and 11,413.82 is: 15,741.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,527.92 : 18,657.06 = 11,413.82 : x
  2. Step 2: Convert to fraction form
    13,527.92/18,657.06 = 11,413.82/x
  3. Step 3: Cross multiply
    13,527.92x = 18,657.06 × 11,413.82
  4. Step 4: Simplify right side
    13,527.92x = 212,948,324.57
  5. Step 5: Solve for x
    x = 212,948,324.57/13,527.92
  6. Step 6: Final answer
    x = 15,741.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.