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Finding the Fourth Proportional to 23,054.71, 31,816.26 and 12,983.33

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Solution

The fourth proportional to 23,054.71, 31,816.26 and 12,983.33 is: 17,917.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,054.71 : 31,816.26 = 12,983.33 : x
  2. Step 2: Convert to fraction form
    23,054.71/31,816.26 = 12,983.33/x
  3. Step 3: Cross multiply
    23,054.71x = 31,816.26 × 12,983.33
  4. Step 4: Simplify right side
    23,054.71x = 413,081,002.95
  5. Step 5: Solve for x
    x = 413,081,002.95/23,054.71
  6. Step 6: Final answer
    x = 17,917.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.