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Finding the Fourth Proportional to 14,771.94, 22,170.87 and 6,464.58

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Solution

The fourth proportional to 14,771.94, 22,170.87 and 6,464.58 is: 9,702.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,771.94 : 22,170.87 = 6,464.58 : x
  2. Step 2: Convert to fraction form
    14,771.94/22,170.87 = 6,464.58/x
  3. Step 3: Cross multiply
    14,771.94x = 22,170.87 × 6,464.58
  4. Step 4: Simplify right side
    14,771.94x = 143,325,362.78
  5. Step 5: Solve for x
    x = 143,325,362.78/14,771.94
  6. Step 6: Final answer
    x = 9,702.54

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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.