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Finding the Fourth Proportional to 26,567.31, 36,662.02 and 14,630.34

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Solution

The fourth proportional to 26,567.31, 36,662.02 and 14,630.34 is: 20,189.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,567.31 : 36,662.02 = 14,630.34 : x
  2. Step 2: Convert to fraction form
    26,567.31/36,662.02 = 14,630.34/x
  3. Step 3: Cross multiply
    26,567.31x = 36,662.02 × 14,630.34
  4. Step 4: Simplify right side
    26,567.31x = 536,377,817.69
  5. Step 5: Solve for x
    x = 536,377,817.69/26,567.31
  6. Step 6: Final answer
    x = 20,189.39

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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.