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Finding the Fourth Proportional to 26,742.72, 36,903.60 and 15,414

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Solution

The fourth proportional to 26,742.72, 36,903.60 and 15,414 is: 21,270.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,742.72 : 36,903.60 = 15,414 : x
  2. Step 2: Convert to fraction form
    26,742.72/36,903.60 = 15,414/x
  3. Step 3: Cross multiply
    26,742.72x = 36,903.60 × 15,414
  4. Step 4: Simplify right side
    26,742.72x = 568,832,090.40
  5. Step 5: Solve for x
    x = 568,832,090.40/26,742.72
  6. Step 6: Final answer
    x = 21,270.54

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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.