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Finding the Fourth Proportional to 12,458.69, 18,688.10 and 3,693.68

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Solution

The fourth proportional to 12,458.69, 18,688.10 and 3,693.68 is: 5,540.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,458.69 : 18,688.10 = 3,693.68 : x
  2. Step 2: Convert to fraction form
    12,458.69/18,688.10 = 3,693.68/x
  3. Step 3: Cross multiply
    12,458.69x = 18,688.10 × 3,693.68
  4. Step 4: Simplify right side
    12,458.69x = 69,027,861.21
  5. Step 5: Solve for x
    x = 69,027,861.21/12,458.69
  6. Step 6: Final answer
    x = 5,540.54

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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.