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Finding the Fourth Proportional to 12,522.34, 18,780.43 and 4,202.17

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Solution

The fourth proportional to 12,522.34, 18,780.43 and 4,202.17 is: 6,302.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,522.34 : 18,780.43 = 4,202.17 : x
  2. Step 2: Convert to fraction form
    12,522.34/18,780.43 = 4,202.17/x
  3. Step 3: Cross multiply
    12,522.34x = 18,780.43 × 4,202.17
  4. Step 4: Simplify right side
    12,522.34x = 78,918,559.53
  5. Step 5: Solve for x
    x = 78,918,559.53/12,522.34
  6. Step 6: Final answer
    x = 6,302.22

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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.