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Finding the Fourth Proportional to 16,483.28, 22,751.00 and 9,413.81

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Solution

The fourth proportional to 16,483.28, 22,751.00 and 9,413.81 is: 12,993.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,483.28 : 22,751.00 = 9,413.81 : x
  2. Step 2: Convert to fraction form
    16,483.28/22,751.00 = 9,413.81/x
  3. Step 3: Cross multiply
    16,483.28x = 22,751.00 × 9,413.81
  4. Step 4: Simplify right side
    16,483.28x = 214,173,501.09
  5. Step 5: Solve for x
    x = 214,173,501.09/16,483.28
  6. Step 6: Final answer
    x = 12,993.38

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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.