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Finding the Fourth Proportional to 16,927.22, 25,399.47 and 7,692.02

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Solution

The fourth proportional to 16,927.22, 25,399.47 and 7,692.02 is: 11,541.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,927.22 : 25,399.47 = 7,692.02 : x
  2. Step 2: Convert to fraction form
    16,927.22/25,399.47 = 7,692.02/x
  3. Step 3: Cross multiply
    16,927.22x = 25,399.47 × 7,692.02
  4. Step 4: Simplify right side
    16,927.22x = 195,373,231.23
  5. Step 5: Solve for x
    x = 195,373,231.23/16,927.22
  6. Step 6: Final answer
    x = 11,541.96

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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.