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Finding the Fourth Proportional to 13,669.94, 20,458.42 and 8,402.18

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Solution

The fourth proportional to 13,669.94, 20,458.42 and 8,402.18 is: 12,574.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,669.94 : 20,458.42 = 8,402.18 : x
  2. Step 2: Convert to fraction form
    13,669.94/20,458.42 = 8,402.18/x
  3. Step 3: Cross multiply
    13,669.94x = 20,458.42 × 8,402.18
  4. Step 4: Simplify right side
    13,669.94x = 171,895,183.05
  5. Step 5: Solve for x
    x = 171,895,183.05/13,669.94
  6. Step 6: Final answer
    x = 12,574.68

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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.