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Finding the Fourth Proportional to 12,218.30, 18,328.48 and 3,899.50

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Solution

The fourth proportional to 12,218.30, 18,328.48 and 3,899.50 is: 5,849.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,218.30 : 18,328.48 = 3,899.50 : x
  2. Step 2: Convert to fraction form
    12,218.30/18,328.48 = 3,899.50/x
  3. Step 3: Cross multiply
    12,218.30x = 18,328.48 × 3,899.50
  4. Step 4: Simplify right side
    12,218.30x = 71,471,907.76
  5. Step 5: Solve for x
    x = 71,471,907.76/12,218.30
  6. Step 6: Final answer
    x = 5,849.58

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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.