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Finding the Fourth Proportional to 12,289.63, 18,435.14 and 3,524.32

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Solution

The fourth proportional to 12,289.63, 18,435.14 and 3,524.32 is: 5,286.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,289.63 : 18,435.14 = 3,524.32 : x
  2. Step 2: Convert to fraction form
    12,289.63/18,435.14 = 3,524.32/x
  3. Step 3: Cross multiply
    12,289.63x = 18,435.14 × 3,524.32
  4. Step 4: Simplify right side
    12,289.63x = 64,971,222.81
  5. Step 5: Solve for x
    x = 64,971,222.81/12,289.63
  6. Step 6: Final answer
    x = 5,286.67

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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.