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Finding the Fourth Proportional to 19,178, 26,467.08 and 10,794.32

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Solution

The fourth proportional to 19,178, 26,467.08 and 10,794.32 is: 14,896.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,178 : 26,467.08 = 10,794.32 : x
  2. Step 2: Convert to fraction form
    19,178/26,467.08 = 10,794.32/x
  3. Step 3: Cross multiply
    19,178x = 26,467.08 × 10,794.32
  4. Step 4: Simplify right side
    19,178x = 285,694,130.99
  5. Step 5: Solve for x
    x = 285,694,130.99/19,178
  6. Step 6: Final answer
    x = 14,896.97

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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.