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Finding the Fourth Proportional to 17,803.30, 26,692.80 and 8,447.80

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Solution

The fourth proportional to 17,803.30, 26,692.80 and 8,447.80 is: 12,665.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,803.30 : 26,692.80 = 8,447.80 : x
  2. Step 2: Convert to fraction form
    17,803.30/26,692.80 = 8,447.80/x
  3. Step 3: Cross multiply
    17,803.30x = 26,692.80 × 8,447.80
  4. Step 4: Simplify right side
    17,803.30x = 225,495,435.84
  5. Step 5: Solve for x
    x = 225,495,435.84/17,803.30
  6. Step 6: Final answer
    x = 12,665.93

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Why These Related Problems?

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