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Finding the Fourth Proportional to 19,029.44, 26,260.44 and 10,646

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Solution

The fourth proportional to 19,029.44, 26,260.44 and 10,646 is: 14,691.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,029.44 : 26,260.44 = 10,646 : x
  2. Step 2: Convert to fraction form
    19,029.44/26,260.44 = 10,646/x
  3. Step 3: Cross multiply
    19,029.44x = 26,260.44 × 10,646
  4. Step 4: Simplify right side
    19,029.44x = 279,568,644.24
  5. Step 5: Solve for x
    x = 279,568,644.24/19,029.44
  6. Step 6: Final answer
    x = 14,691.38

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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.