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Finding the Fourth Proportional to 16,413.36, 22,650.56 and 9,340.32

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Solution

The fourth proportional to 16,413.36, 22,650.56 and 9,340.32 is: 12,889.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,413.36 : 22,650.56 = 9,340.32 : x
  2. Step 2: Convert to fraction form
    16,413.36/22,650.56 = 9,340.32/x
  3. Step 3: Cross multiply
    16,413.36x = 22,650.56 × 9,340.32
  4. Step 4: Simplify right side
    16,413.36x = 211,563,478.58
  5. Step 5: Solve for x
    x = 211,563,478.58/16,413.36
  6. Step 6: Final answer
    x = 12,889.71

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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.