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Finding the Fourth Proportional to 12,246.44, 18,364.19 and 5,674.50

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Solution

The fourth proportional to 12,246.44, 18,364.19 and 5,674.50 is: 8,509.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,246.44 : 18,364.19 = 5,674.50 : x
  2. Step 2: Convert to fraction form
    12,246.44/18,364.19 = 5,674.50/x
  3. Step 3: Cross multiply
    12,246.44x = 18,364.19 × 5,674.50
  4. Step 4: Simplify right side
    12,246.44x = 104,207,567.78
  5. Step 5: Solve for x
    x = 104,207,567.78/12,246.44
  6. Step 6: Final answer
    x = 8,509.22

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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.