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Finding the Fourth Proportional to 13,594.74, 20,379.54 and 9,436.68

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Solution

The fourth proportional to 13,594.74, 20,379.54 and 9,436.68 is: 14,146.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,594.74 : 20,379.54 = 9,436.68 : x
  2. Step 2: Convert to fraction form
    13,594.74/20,379.54 = 9,436.68/x
  3. Step 3: Cross multiply
    13,594.74x = 20,379.54 × 9,436.68
  4. Step 4: Simplify right side
    13,594.74x = 192,315,197.53
  5. Step 5: Solve for x
    x = 192,315,197.53/13,594.74
  6. Step 6: Final answer
    x = 14,146.29

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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.