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Finding the Fourth Proportional to 12,362.37, 18,543.41 and 3,002.49

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Solution

The fourth proportional to 12,362.37, 18,543.41 and 3,002.49 is: 4,503.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,362.37 : 18,543.41 = 3,002.49 : x
  2. Step 2: Convert to fraction form
    12,362.37/18,543.41 = 3,002.49/x
  3. Step 3: Cross multiply
    12,362.37x = 18,543.41 × 3,002.49
  4. Step 4: Simplify right side
    12,362.37x = 55,676,403.09
  5. Step 5: Solve for x
    x = 55,676,403.09/12,362.37
  6. Step 6: Final answer
    x = 4,503.70

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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.