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Finding the Fourth Proportional to 15,785.49, 23,692.83 and 7,999.77

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Solution

The fourth proportional to 15,785.49, 23,692.83 and 7,999.77 is: 12,007.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,785.49 : 23,692.83 = 7,999.77 : x
  2. Step 2: Convert to fraction form
    15,785.49/23,692.83 = 7,999.77/x
  3. Step 3: Cross multiply
    15,785.49x = 23,692.83 × 7,999.77
  4. Step 4: Simplify right side
    15,785.49x = 189,537,190.65
  5. Step 5: Solve for x
    x = 189,537,190.65/15,785.49
  6. Step 6: Final answer
    x = 12,007.05

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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.