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Finding the Fourth Proportional to 12,263, 18,394.86 and 3,029

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Solution

The fourth proportional to 12,263, 18,394.86 and 3,029 is: 4,543.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,263 : 18,394.86 = 3,029 : x
  2. Step 2: Convert to fraction form
    12,263/18,394.86 = 3,029/x
  3. Step 3: Cross multiply
    12,263x = 18,394.86 × 3,029
  4. Step 4: Simplify right side
    12,263x = 55,718,030.94
  5. Step 5: Solve for x
    x = 55,718,030.94/12,263
  6. Step 6: Final answer
    x = 4,543.59

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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.