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Finding the Fourth Proportional to 12,364.20, 18,533.70 and 6,114.60

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Solution

The fourth proportional to 12,364.20, 18,533.70 and 6,114.60 is: 9,165.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,364.20 : 18,533.70 = 6,114.60 : x
  2. Step 2: Convert to fraction form
    12,364.20/18,533.70 = 6,114.60/x
  3. Step 3: Cross multiply
    12,364.20x = 18,533.70 × 6,114.60
  4. Step 4: Simplify right side
    12,364.20x = 113,326,162.02
  5. Step 5: Solve for x
    x = 113,326,162.02/12,364.20
  6. Step 6: Final answer
    x = 9,165.67

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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.