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Finding the Fourth Proportional to 19,078, 26,327.64 and 10,694.56

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Solution

The fourth proportional to 19,078, 26,327.64 and 10,694.56 is: 14,758.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,078 : 26,327.64 = 10,694.56 : x
  2. Step 2: Convert to fraction form
    19,078/26,327.64 = 10,694.56/x
  3. Step 3: Cross multiply
    19,078x = 26,327.64 × 10,694.56
  4. Step 4: Simplify right side
    19,078x = 281,562,525.64
  5. Step 5: Solve for x
    x = 281,562,525.64/19,078
  6. Step 6: Final answer
    x = 14,758.49

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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.