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Finding the Fourth Proportional to 26,770, 36,942.60 and 14,994

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Solution

The fourth proportional to 26,770, 36,942.60 and 14,994 is: 20,691.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,770 : 36,942.60 = 14,994 : x
  2. Step 2: Convert to fraction form
    26,770/36,942.60 = 14,994/x
  3. Step 3: Cross multiply
    26,770x = 36,942.60 × 14,994
  4. Step 4: Simplify right side
    26,770x = 553,917,344.40
  5. Step 5: Solve for x
    x = 553,917,344.40/26,770
  6. Step 6: Final answer
    x = 20,691.72

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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.