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Finding the Fourth Proportional to 12,522.34, 18,782.87 and 4,202.42

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Solution

The fourth proportional to 12,522.34, 18,782.87 and 4,202.42 is: 6,303.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,522.34 : 18,782.87 = 4,202.42 : x
  2. Step 2: Convert to fraction form
    12,522.34/18,782.87 = 4,202.42/x
  3. Step 3: Cross multiply
    12,522.34x = 18,782.87 × 4,202.42
  4. Step 4: Simplify right side
    12,522.34x = 78,933,534.49
  5. Step 5: Solve for x
    x = 78,933,534.49/12,522.34
  6. Step 6: Final answer
    x = 6,303.42

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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.