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Finding the Fourth Proportional to 19,427.86, 26,809.27 and 10,813.80

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Solution

The fourth proportional to 19,427.86, 26,809.27 and 10,813.80 is: 14,922.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,427.86 : 26,809.27 = 10,813.80 : x
  2. Step 2: Convert to fraction form
    19,427.86/26,809.27 = 10,813.80/x
  3. Step 3: Cross multiply
    19,427.86x = 26,809.27 × 10,813.80
  4. Step 4: Simplify right side
    19,427.86x = 289,910,083.93
  5. Step 5: Solve for x
    x = 289,910,083.93/19,427.86
  6. Step 6: Final answer
    x = 14,922.39

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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.