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Finding the Fourth Proportional to 13,683.94, 20,527.22 and 6,290.46

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Solution

The fourth proportional to 13,683.94, 20,527.22 and 6,290.46 is: 9,436.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,683.94 : 20,527.22 = 6,290.46 : x
  2. Step 2: Convert to fraction form
    13,683.94/20,527.22 = 6,290.46/x
  3. Step 3: Cross multiply
    13,683.94x = 20,527.22 × 6,290.46
  4. Step 4: Simplify right side
    13,683.94x = 129,125,672.05
  5. Step 5: Solve for x
    x = 129,125,672.05/13,683.94
  6. Step 6: Final answer
    x = 9,436.30

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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.