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Finding the Fourth Proportional to 13,336.25, 18,406.58 and 7,674.75

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Solution

The fourth proportional to 13,336.25, 18,406.58 and 7,674.75 is: 10,592.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,336.25 : 18,406.58 = 7,674.75 : x
  2. Step 2: Convert to fraction form
    13,336.25/18,406.58 = 7,674.75/x
  3. Step 3: Cross multiply
    13,336.25x = 18,406.58 × 7,674.75
  4. Step 4: Simplify right side
    13,336.25x = 141,265,861.48
  5. Step 5: Solve for x
    x = 141,265,861.48/13,336.25
  6. Step 6: Final answer
    x = 10,592.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.