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Finding the Fourth Proportional to 14,464.48, 21,692.34 and 6,144.42

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Solution

The fourth proportional to 14,464.48, 21,692.34 and 6,144.42 is: 9,214.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,464.48 : 21,692.34 = 6,144.42 : x
  2. Step 2: Convert to fraction form
    14,464.48/21,692.34 = 6,144.42/x
  3. Step 3: Cross multiply
    14,464.48x = 21,692.34 × 6,144.42
  4. Step 4: Simplify right side
    14,464.48x = 133,286,847.74
  5. Step 5: Solve for x
    x = 133,286,847.74/14,464.48
  6. Step 6: Final answer
    x = 9,214.77

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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.