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Finding the Fourth Proportional to 12,244.14, 18,355.20 and 4,447.50

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Solution

The fourth proportional to 12,244.14, 18,355.20 and 4,447.50 is: 6,667.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,244.14 : 18,355.20 = 4,447.50 : x
  2. Step 2: Convert to fraction form
    12,244.14/18,355.20 = 4,447.50/x
  3. Step 3: Cross multiply
    12,244.14x = 18,355.20 × 4,447.50
  4. Step 4: Simplify right side
    12,244.14x = 81,634,752
  5. Step 5: Solve for x
    x = 81,634,752/12,244.14
  6. Step 6: Final answer
    x = 6,667.25

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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.