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Finding the Fourth Proportional to 13,804.85, 20,702.67 and 4,442.67

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Solution

The fourth proportional to 13,804.85, 20,702.67 and 4,442.67 is: 6,662.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,804.85 : 20,702.67 = 4,442.67 : x
  2. Step 2: Convert to fraction form
    13,804.85/20,702.67 = 4,442.67/x
  3. Step 3: Cross multiply
    13,804.85x = 20,702.67 × 4,442.67
  4. Step 4: Simplify right side
    13,804.85x = 91,975,130.93
  5. Step 5: Solve for x
    x = 91,975,130.93/13,804.85
  6. Step 6: Final answer
    x = 6,662.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.