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Finding the Fourth Proportional to 16,413.69, 24,581.07 and 9,372.37

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Solution

The fourth proportional to 16,413.69, 24,581.07 and 9,372.37 is: 14,036.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,413.69 : 24,581.07 = 9,372.37 : x
  2. Step 2: Convert to fraction form
    16,413.69/24,581.07 = 9,372.37/x
  3. Step 3: Cross multiply
    16,413.69x = 24,581.07 × 9,372.37
  4. Step 4: Simplify right side
    16,413.69x = 230,382,894.03
  5. Step 5: Solve for x
    x = 230,382,894.03/16,413.69
  6. Step 6: Final answer
    x = 14,036.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.