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Finding the Fourth Proportional to 20,172.84, 30,246.30 and 13,239.24

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Solution

The fourth proportional to 20,172.84, 30,246.30 and 13,239.24 is: 19,850.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,172.84 : 30,246.30 = 13,239.24 : x
  2. Step 2: Convert to fraction form
    20,172.84/30,246.30 = 13,239.24/x
  3. Step 3: Cross multiply
    20,172.84x = 30,246.30 × 13,239.24
  4. Step 4: Simplify right side
    20,172.84x = 400,438,024.81
  5. Step 5: Solve for x
    x = 400,438,024.81/20,172.84
  6. Step 6: Final answer
    x = 19,850.35

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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.