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Finding the Fourth Proportional to 12,107.05, 16,700.19 and 8,323.64

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Solution

The fourth proportional to 12,107.05, 16,700.19 and 8,323.64 is: 11,481.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,107.05 : 16,700.19 = 8,323.64 : x
  2. Step 2: Convert to fraction form
    12,107.05/16,700.19 = 8,323.64/x
  3. Step 3: Cross multiply
    12,107.05x = 16,700.19 × 8,323.64
  4. Step 4: Simplify right side
    12,107.05x = 139,006,420.87
  5. Step 5: Solve for x
    x = 139,006,420.87/12,107.05
  6. Step 6: Final answer
    x = 11,481.45

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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.