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Finding the Fourth Proportional to 19,496.35, 29,245.34 and 16,232.46

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Solution

The fourth proportional to 19,496.35, 29,245.34 and 16,232.46 is: 24,349.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,496.35 : 29,245.34 = 16,232.46 : x
  2. Step 2: Convert to fraction form
    19,496.35/29,245.34 = 16,232.46/x
  3. Step 3: Cross multiply
    19,496.35x = 29,245.34 × 16,232.46
  4. Step 4: Simplify right side
    19,496.35x = 474,723,811.74
  5. Step 5: Solve for x
    x = 474,723,811.74/19,496.35
  6. Step 6: Final answer
    x = 24,349.37

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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.