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Finding the Fourth Proportional to 15,487.38, 21,371.94 and 8,413.62

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Solution

The fourth proportional to 15,487.38, 21,371.94 and 8,413.62 is: 11,610.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,487.38 : 21,371.94 = 8,413.62 : x
  2. Step 2: Convert to fraction form
    15,487.38/21,371.94 = 8,413.62/x
  3. Step 3: Cross multiply
    15,487.38x = 21,371.94 × 8,413.62
  4. Step 4: Simplify right side
    15,487.38x = 179,815,381.82
  5. Step 5: Solve for x
    x = 179,815,381.82/15,487.38
  6. Step 6: Final answer
    x = 11,610.45

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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.