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Finding the Fourth Proportional to 12,424.70, 17,144.52 and 8,400.28

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Solution

The fourth proportional to 12,424.70, 17,144.52 and 8,400.28 is: 11,591.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,424.70 : 17,144.52 = 8,400.28 : x
  2. Step 2: Convert to fraction form
    12,424.70/17,144.52 = 8,400.28/x
  3. Step 3: Cross multiply
    12,424.70x = 17,144.52 × 8,400.28
  4. Step 4: Simplify right side
    12,424.70x = 144,018,833.53
  5. Step 5: Solve for x
    x = 144,018,833.53/12,424.70
  6. Step 6: Final answer
    x = 11,591.33

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