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Finding the Fourth Proportional to 23,850.38, 35,709.90 and 12,106.16

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Solution

The fourth proportional to 23,850.38, 35,709.90 and 12,106.16 is: 18,125.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,850.38 : 35,709.90 = 12,106.16 : x
  2. Step 2: Convert to fraction form
    23,850.38/35,709.90 = 12,106.16/x
  3. Step 3: Cross multiply
    23,850.38x = 35,709.90 × 12,106.16
  4. Step 4: Simplify right side
    23,850.38x = 432,309,762.98
  5. Step 5: Solve for x
    x = 432,309,762.98/23,850.38
  6. Step 6: Final answer
    x = 18,125.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.