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Finding the Fourth Proportional to 12,245.64, 18,357.45 and 4,449

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Solution

The fourth proportional to 12,245.64, 18,357.45 and 4,449 is: 6,669.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,245.64 : 18,357.45 = 4,449 : x
  2. Step 2: Convert to fraction form
    12,245.64/18,357.45 = 4,449/x
  3. Step 3: Cross multiply
    12,245.64x = 18,357.45 × 4,449
  4. Step 4: Simplify right side
    12,245.64x = 81,672,295.05
  5. Step 5: Solve for x
    x = 81,672,295.05/12,245.64
  6. Step 6: Final answer
    x = 6,669.50

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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.