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Finding the Fourth Proportional to 13,728.17, 20,688.96 and 12,413.42

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Solution

The fourth proportional to 13,728.17, 20,688.96 and 12,413.42 is: 18,707.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,728.17 : 20,688.96 = 12,413.42 : x
  2. Step 2: Convert to fraction form
    13,728.17/20,688.96 = 12,413.42/x
  3. Step 3: Cross multiply
    13,728.17x = 20,688.96 × 12,413.42
  4. Step 4: Simplify right side
    13,728.17x = 256,820,749.84
  5. Step 5: Solve for x
    x = 256,820,749.84/13,728.17
  6. Step 6: Final answer
    x = 18,707.57

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.