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Finding the Fourth Proportional to 22,759.57, 31,390.40 and 14,804.33

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Solution

The fourth proportional to 22,759.57, 31,390.40 and 14,804.33 is: 20,418.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,759.57 : 31,390.40 = 14,804.33 : x
  2. Step 2: Convert to fraction form
    22,759.57/31,390.40 = 14,804.33/x
  3. Step 3: Cross multiply
    22,759.57x = 31,390.40 × 14,804.33
  4. Step 4: Simplify right side
    22,759.57x = 464,713,766.41
  5. Step 5: Solve for x
    x = 464,713,766.41/22,759.57
  6. Step 6: Final answer
    x = 20,418.39

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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.