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Finding the Fourth Proportional to 12,185.49, 18,278.16 and 3,420.41

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Solution

The fourth proportional to 12,185.49, 18,278.16 and 3,420.41 is: 5,130.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,185.49 : 18,278.16 = 3,420.41 : x
  2. Step 2: Convert to fraction form
    12,185.49/18,278.16 = 3,420.41/x
  3. Step 3: Cross multiply
    12,185.49x = 18,278.16 × 3,420.41
  4. Step 4: Simplify right side
    12,185.49x = 62,518,801.25
  5. Step 5: Solve for x
    x = 62,518,801.25/12,185.49
  6. Step 6: Final answer
    x = 5,130.59

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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.