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Finding the Fourth Proportional to 13,715.32, 18,938.34 and 8,413.56

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Solution

The fourth proportional to 13,715.32, 18,938.34 and 8,413.56 is: 11,617.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,715.32 : 18,938.34 = 8,413.56 : x
  2. Step 2: Convert to fraction form
    13,715.32/18,938.34 = 8,413.56/x
  3. Step 3: Cross multiply
    13,715.32x = 18,938.34 × 8,413.56
  4. Step 4: Simplify right side
    13,715.32x = 159,338,859.89
  5. Step 5: Solve for x
    x = 159,338,859.89/13,715.32
  6. Step 6: Final answer
    x = 11,617.58

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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.