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Finding the Fourth Proportional to 12,241, 18,364.38 and 4,033

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Solution

The fourth proportional to 12,241, 18,364.38 and 4,033 is: 6,050.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,241 : 18,364.38 = 4,033 : x
  2. Step 2: Convert to fraction form
    12,241/18,364.38 = 4,033/x
  3. Step 3: Cross multiply
    12,241x = 18,364.38 × 4,033
  4. Step 4: Simplify right side
    12,241x = 74,063,544.54
  5. Step 5: Solve for x
    x = 74,063,544.54/12,241
  6. Step 6: Final answer
    x = 6,050.45

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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.