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Finding the Fourth Proportional to 29,457.68, 44,181.74 and 9,466.22

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Solution

The fourth proportional to 29,457.68, 44,181.74 and 9,466.22 is: 14,197.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,457.68 : 44,181.74 = 9,466.22 : x
  2. Step 2: Convert to fraction form
    29,457.68/44,181.74 = 9,466.22/x
  3. Step 3: Cross multiply
    29,457.68x = 44,181.74 × 9,466.22
  4. Step 4: Simplify right side
    29,457.68x = 418,234,204.94
  5. Step 5: Solve for x
    x = 418,234,204.94/29,457.68
  6. Step 6: Final answer
    x = 14,197.80

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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.