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Finding the Fourth Proportional to 12,245.14, 18,356.70 and 4,448.50

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Solution

The fourth proportional to 12,245.14, 18,356.70 and 4,448.50 is: 6,668.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,245.14 : 18,356.70 = 4,448.50 : x
  2. Step 2: Convert to fraction form
    12,245.14/18,356.70 = 4,448.50/x
  3. Step 3: Cross multiply
    12,245.14x = 18,356.70 × 4,448.50
  4. Step 4: Simplify right side
    12,245.14x = 81,659,779.95
  5. Step 5: Solve for x
    x = 81,659,779.95/12,245.14
  6. Step 6: Final answer
    x = 6,668.75

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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.