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Finding the Fourth Proportional to 14,446.62, 21,662.19 and 6,648.75

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Solution

The fourth proportional to 14,446.62, 21,662.19 and 6,648.75 is: 9,969.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,446.62 : 21,662.19 = 6,648.75 : x
  2. Step 2: Convert to fraction form
    14,446.62/21,662.19 = 6,648.75/x
  3. Step 3: Cross multiply
    14,446.62x = 21,662.19 × 6,648.75
  4. Step 4: Simplify right side
    14,446.62x = 144,026,485.76
  5. Step 5: Solve for x
    x = 144,026,485.76/14,446.62
  6. Step 6: Final answer
    x = 9,969.56

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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.