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Finding the Fourth Proportional to 30,212.70, 41,690.07 and 17,638.62

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Solution

The fourth proportional to 30,212.70, 41,690.07 and 17,638.62 is: 24,339.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,212.70 : 41,690.07 = 17,638.62 : x
  2. Step 2: Convert to fraction form
    30,212.70/41,690.07 = 17,638.62/x
  3. Step 3: Cross multiply
    30,212.70x = 41,690.07 × 17,638.62
  4. Step 4: Simplify right side
    30,212.70x = 735,355,302.50
  5. Step 5: Solve for x
    x = 735,355,302.50/30,212.70
  6. Step 6: Final answer
    x = 24,339.28

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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.