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Finding the Fourth Proportional to 22,804.50, 31,470.83 and 12,733.37

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Solution

The fourth proportional to 22,804.50, 31,470.83 and 12,733.37 is: 17,572.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,804.50 : 31,470.83 = 12,733.37 : x
  2. Step 2: Convert to fraction form
    22,804.50/31,470.83 = 12,733.37/x
  3. Step 3: Cross multiply
    22,804.50x = 31,470.83 × 12,733.37
  4. Step 4: Simplify right side
    22,804.50x = 400,729,501.58
  5. Step 5: Solve for x
    x = 400,729,501.58/22,804.50
  6. Step 6: Final answer
    x = 17,572.39

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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.