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Finding the Fourth Proportional to 12,818.02, 17,692.09 and 7,232.26

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Solution

The fourth proportional to 12,818.02, 17,692.09 and 7,232.26 is: 9,982.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,818.02 : 17,692.09 = 7,232.26 : x
  2. Step 2: Convert to fraction form
    12,818.02/17,692.09 = 7,232.26/x
  3. Step 3: Cross multiply
    12,818.02x = 17,692.09 × 7,232.26
  4. Step 4: Simplify right side
    12,818.02x = 127,953,794.82
  5. Step 5: Solve for x
    x = 127,953,794.82/12,818.02
  6. Step 6: Final answer
    x = 9,982.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.