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Finding the Fourth Proportional to 12,655.49, 18,984.15 and 3,649.23

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Solution

The fourth proportional to 12,655.49, 18,984.15 and 3,649.23 is: 5,474.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,655.49 : 18,984.15 = 3,649.23 : x
  2. Step 2: Convert to fraction form
    12,655.49/18,984.15 = 3,649.23/x
  3. Step 3: Cross multiply
    12,655.49x = 18,984.15 × 3,649.23
  4. Step 4: Simplify right side
    12,655.49x = 69,277,529.70
  5. Step 5: Solve for x
    x = 69,277,529.70/12,655.49
  6. Step 6: Final answer
    x = 5,474.11

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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.