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Finding the Fourth Proportional to 19,076.75, 26,323.45 and 10,578.80

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Solution

The fourth proportional to 19,076.75, 26,323.45 and 10,578.80 is: 14,597.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,076.75 : 26,323.45 = 10,578.80 : x
  2. Step 2: Convert to fraction form
    19,076.75/26,323.45 = 10,578.80/x
  3. Step 3: Cross multiply
    19,076.75x = 26,323.45 × 10,578.80
  4. Step 4: Simplify right side
    19,076.75x = 278,470,552.22
  5. Step 5: Solve for x
    x = 278,470,552.22/19,076.75
  6. Step 6: Final answer
    x = 14,597.38

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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.