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Finding the Fourth Proportional to 12,435.75, 18,649.98 and 3,668.58

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Solution

The fourth proportional to 12,435.75, 18,649.98 and 3,668.58 is: 5,501.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,435.75 : 18,649.98 = 3,668.58 : x
  2. Step 2: Convert to fraction form
    12,435.75/18,649.98 = 3,668.58/x
  3. Step 3: Cross multiply
    12,435.75x = 18,649.98 × 3,668.58
  4. Step 4: Simplify right side
    12,435.75x = 68,418,943.63
  5. Step 5: Solve for x
    x = 68,418,943.63/12,435.75
  6. Step 6: Final answer
    x = 5,501.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.