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Finding the Fourth Proportional to 14,380.99, 21,544.74 and 7,812.70

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Solution

The fourth proportional to 14,380.99, 21,544.74 and 7,812.70 is: 11,704.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,380.99 : 21,544.74 = 7,812.70 : x
  2. Step 2: Convert to fraction form
    14,380.99/21,544.74 = 7,812.70/x
  3. Step 3: Cross multiply
    14,380.99x = 21,544.74 × 7,812.70
  4. Step 4: Simplify right side
    14,380.99x = 168,322,536.34
  5. Step 5: Solve for x
    x = 168,322,536.34/14,380.99
  6. Step 6: Final answer
    x = 11,704.52

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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.