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Finding the Fourth Proportional to 12,183.88, 16,810.32 and 7,647.16

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Solution

The fourth proportional to 12,183.88, 16,810.32 and 7,647.16 is: 10,550.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,183.88 : 16,810.32 = 7,647.16 : x
  2. Step 2: Convert to fraction form
    12,183.88/16,810.32 = 7,647.16/x
  3. Step 3: Cross multiply
    12,183.88x = 16,810.32 × 7,647.16
  4. Step 4: Simplify right side
    12,183.88x = 128,551,206.69
  5. Step 5: Solve for x
    x = 128,551,206.69/12,183.88
  6. Step 6: Final answer
    x = 10,550.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.