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Finding the Fourth Proportional to 30,213.40, 41,656.16 and 21,609.94

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Solution

The fourth proportional to 30,213.40, 41,656.16 and 21,609.94 is: 29,794.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,213.40 : 41,656.16 = 21,609.94 : x
  2. Step 2: Convert to fraction form
    30,213.40/41,656.16 = 21,609.94/x
  3. Step 3: Cross multiply
    30,213.40x = 41,656.16 × 21,609.94
  4. Step 4: Simplify right side
    30,213.40x = 900,187,024.66
  5. Step 5: Solve for x
    x = 900,187,024.66/30,213.40
  6. Step 6: Final answer
    x = 29,794.30

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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.