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Finding the Fourth Proportional to 26,672.78, 36,807.90 and 14,736

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Solution

The fourth proportional to 26,672.78, 36,807.90 and 14,736 is: 20,335.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,672.78 : 36,807.90 = 14,736 : x
  2. Step 2: Convert to fraction form
    26,672.78/36,807.90 = 14,736/x
  3. Step 3: Cross multiply
    26,672.78x = 36,807.90 × 14,736
  4. Step 4: Simplify right side
    26,672.78x = 542,401,214.40
  5. Step 5: Solve for x
    x = 542,401,214.40/26,672.78
  6. Step 6: Final answer
    x = 20,335.39

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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.