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Finding the Fourth Proportional to 25,457.05, 38,170.22 and 11,414.54

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Solution

The fourth proportional to 25,457.05, 38,170.22 and 11,414.54 is: 17,114.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,457.05 : 38,170.22 = 11,414.54 : x
  2. Step 2: Convert to fraction form
    25,457.05/38,170.22 = 11,414.54/x
  3. Step 3: Cross multiply
    25,457.05x = 38,170.22 × 11,414.54
  4. Step 4: Simplify right side
    25,457.05x = 435,695,312.15
  5. Step 5: Solve for x
    x = 435,695,312.15/25,457.05
  6. Step 6: Final answer
    x = 17,114.92

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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.