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Finding the Fourth Proportional to 26,665, 36,797.70 and 14,889

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Solution

The fourth proportional to 26,665, 36,797.70 and 14,889 is: 20,546.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,665 : 36,797.70 = 14,889 : x
  2. Step 2: Convert to fraction form
    26,665/36,797.70 = 14,889/x
  3. Step 3: Cross multiply
    26,665x = 36,797.70 × 14,889
  4. Step 4: Simplify right side
    26,665x = 547,880,955.30
  5. Step 5: Solve for x
    x = 547,880,955.30/26,665
  6. Step 6: Final answer
    x = 20,546.82

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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.