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Finding the Fourth Proportional to 24,463.36, 33,760.24 and 14,390

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Solution

The fourth proportional to 24,463.36, 33,760.24 and 14,390 is: 19,858.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,463.36 : 33,760.24 = 14,390 : x
  2. Step 2: Convert to fraction form
    24,463.36/33,760.24 = 14,390/x
  3. Step 3: Cross multiply
    24,463.36x = 33,760.24 × 14,390
  4. Step 4: Simplify right side
    24,463.36x = 485,809,853.60
  5. Step 5: Solve for x
    x = 485,809,853.60/24,463.36
  6. Step 6: Final answer
    x = 19,858.67

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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.