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Finding the Fourth Proportional to 13,648.34, 20,465.22 and 4,286.64

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Solution

The fourth proportional to 13,648.34, 20,465.22 and 4,286.64 is: 6,427.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,648.34 : 20,465.22 = 4,286.64 : x
  2. Step 2: Convert to fraction form
    13,648.34/20,465.22 = 4,286.64/x
  3. Step 3: Cross multiply
    13,648.34x = 20,465.22 × 4,286.64
  4. Step 4: Simplify right side
    13,648.34x = 87,727,030.66
  5. Step 5: Solve for x
    x = 87,727,030.66/13,648.34
  6. Step 6: Final answer
    x = 6,427.67

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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.