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Finding the Fourth Proportional to 16,486.38, 22,751.58 and 9,413.46

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Solution

The fourth proportional to 16,486.38, 22,751.58 and 9,413.46 is: 12,990.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,486.38 : 22,751.58 = 9,413.46 : x
  2. Step 2: Convert to fraction form
    16,486.38/22,751.58 = 9,413.46/x
  3. Step 3: Cross multiply
    16,486.38x = 22,751.58 × 9,413.46
  4. Step 4: Simplify right side
    16,486.38x = 214,171,088.27
  5. Step 5: Solve for x
    x = 214,171,088.27/16,486.38
  6. Step 6: Final answer
    x = 12,990.79

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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.