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Finding the Fourth Proportional to 29,466.14, 44,194.82 and 9,744.80

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Solution

The fourth proportional to 29,466.14, 44,194.82 and 9,744.80 is: 14,615.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,466.14 : 44,194.82 = 9,744.80 : x
  2. Step 2: Convert to fraction form
    29,466.14/44,194.82 = 9,744.80/x
  3. Step 3: Cross multiply
    29,466.14x = 44,194.82 × 9,744.80
  4. Step 4: Simplify right side
    29,466.14x = 430,669,412.24
  5. Step 5: Solve for x
    x = 430,669,412.24/29,466.14
  6. Step 6: Final answer
    x = 14,615.74

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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.