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Finding the Fourth Proportional to 23,463, 35,203.14 and 12,369.24

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Solution

The fourth proportional to 23,463, 35,203.14 and 12,369.24 is: 18,558.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,463 : 35,203.14 = 12,369.24 : x
  2. Step 2: Convert to fraction form
    23,463/35,203.14 = 12,369.24/x
  3. Step 3: Cross multiply
    23,463x = 35,203.14 × 12,369.24
  4. Step 4: Simplify right side
    23,463x = 435,436,087.41
  5. Step 5: Solve for x
    x = 435,436,087.41/23,463
  6. Step 6: Final answer
    x = 18,558.41

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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.