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Finding the Fourth Proportional to 12,522.18, 18,783.24 and 4,202.22

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Solution

The fourth proportional to 12,522.18, 18,783.24 and 4,202.22 is: 6,303.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,522.18 : 18,783.24 = 4,202.22 : x
  2. Step 2: Convert to fraction form
    12,522.18/18,783.24 = 4,202.22/x
  3. Step 3: Cross multiply
    12,522.18x = 18,783.24 × 4,202.22
  4. Step 4: Simplify right side
    12,522.18x = 78,931,306.79
  5. Step 5: Solve for x
    x = 78,931,306.79/12,522.18
  6. Step 6: Final answer
    x = 6,303.32

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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.