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Finding the Fourth Proportional to 14,574.46, 21,865.92 and 7,181.14

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Solution

The fourth proportional to 14,574.46, 21,865.92 and 7,181.14 is: 10,773.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,574.46 : 21,865.92 = 7,181.14 : x
  2. Step 2: Convert to fraction form
    14,574.46/21,865.92 = 7,181.14/x
  3. Step 3: Cross multiply
    14,574.46x = 21,865.92 × 7,181.14
  4. Step 4: Simplify right side
    14,574.46x = 157,022,232.75
  5. Step 5: Solve for x
    x = 157,022,232.75/14,574.46
  6. Step 6: Final answer
    x = 10,773.79

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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.