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Finding the Fourth Proportional to 26,116.72, 36,040.44 and 14,938

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Solution

The fourth proportional to 26,116.72, 36,040.44 and 14,938 is: 20,614.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,116.72 : 36,040.44 = 14,938 : x
  2. Step 2: Convert to fraction form
    26,116.72/36,040.44 = 14,938/x
  3. Step 3: Cross multiply
    26,116.72x = 36,040.44 × 14,938
  4. Step 4: Simplify right side
    26,116.72x = 538,372,092.72
  5. Step 5: Solve for x
    x = 538,372,092.72/26,116.72
  6. Step 6: Final answer
    x = 20,614.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.