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Finding the Fourth Proportional to 12,338.22, 18,506.61 and 3,103.50

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Solution

The fourth proportional to 12,338.22, 18,506.61 and 3,103.50 is: 4,655.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,338.22 : 18,506.61 = 3,103.50 : x
  2. Step 2: Convert to fraction form
    12,338.22/18,506.61 = 3,103.50/x
  3. Step 3: Cross multiply
    12,338.22x = 18,506.61 × 3,103.50
  4. Step 4: Simplify right side
    12,338.22x = 57,435,264.14
  5. Step 5: Solve for x
    x = 57,435,264.14/12,338.22
  6. Step 6: Final answer
    x = 4,655.07

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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.