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Finding the Fourth Proportional to 21,975.76, 30,325.44 and 13,024

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Solution

The fourth proportional to 21,975.76, 30,325.44 and 13,024 is: 17,972.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,975.76 : 30,325.44 = 13,024 : x
  2. Step 2: Convert to fraction form
    21,975.76/30,325.44 = 13,024/x
  3. Step 3: Cross multiply
    21,975.76x = 30,325.44 × 13,024
  4. Step 4: Simplify right side
    21,975.76x = 394,958,530.56
  5. Step 5: Solve for x
    x = 394,958,530.56/21,975.76
  6. Step 6: Final answer
    x = 17,972.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.