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Finding the Fourth Proportional to 12,604.35, 18,906.53 and 5,200.67

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Solution

The fourth proportional to 12,604.35, 18,906.53 and 5,200.67 is: 7,801.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,604.35 : 18,906.53 = 5,200.67 : x
  2. Step 2: Convert to fraction form
    12,604.35/18,906.53 = 5,200.67/x
  3. Step 3: Cross multiply
    12,604.35x = 18,906.53 × 5,200.67
  4. Step 4: Simplify right side
    12,604.35x = 98,326,644.64
  5. Step 5: Solve for x
    x = 98,326,644.64/12,604.35
  6. Step 6: Final answer
    x = 7,801.01

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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.