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Finding the Fourth Proportional to 14,647, 21,927.42 and 9,082.48

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Solution

The fourth proportional to 14,647, 21,927.42 and 9,082.48 is: 13,597.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,647 : 21,927.42 = 9,082.48 : x
  2. Step 2: Convert to fraction form
    14,647/21,927.42 = 9,082.48/x
  3. Step 3: Cross multiply
    14,647x = 21,927.42 × 9,082.48
  4. Step 4: Simplify right side
    14,647x = 199,155,353.60
  5. Step 5: Solve for x
    x = 199,155,353.60/14,647
  6. Step 6: Final answer
    x = 13,597.01

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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.