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Finding the Fourth Proportional to 12,557.43, 17,328.68 and 7,524.44

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Solution

The fourth proportional to 12,557.43, 17,328.68 and 7,524.44 is: 10,383.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,557.43 : 17,328.68 = 7,524.44 : x
  2. Step 2: Convert to fraction form
    12,557.43/17,328.68 = 7,524.44/x
  3. Step 3: Cross multiply
    12,557.43x = 17,328.68 × 7,524.44
  4. Step 4: Simplify right side
    12,557.43x = 130,388,721.67
  5. Step 5: Solve for x
    x = 130,388,721.67/12,557.43
  6. Step 6: Final answer
    x = 10,383.39

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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.