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Finding the Fourth Proportional to 12,403.37, 18,605.16 and 3,638.43

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Solution

The fourth proportional to 12,403.37, 18,605.16 and 3,638.43 is: 5,457.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,403.37 : 18,605.16 = 3,638.43 : x
  2. Step 2: Convert to fraction form
    12,403.37/18,605.16 = 3,638.43/x
  3. Step 3: Cross multiply
    12,403.37x = 18,605.16 × 3,638.43
  4. Step 4: Simplify right side
    12,403.37x = 67,693,461.08
  5. Step 5: Solve for x
    x = 67,693,461.08/12,403.37
  6. Step 6: Final answer
    x = 5,457.67

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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.