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Finding the Fourth Proportional to 21,326.25, 31,923.76 and 13,914.75

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Solution

The fourth proportional to 21,326.25, 31,923.76 and 13,914.75 is: 20,829.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,326.25 : 31,923.76 = 13,914.75 : x
  2. Step 2: Convert to fraction form
    21,326.25/31,923.76 = 13,914.75/x
  3. Step 3: Cross multiply
    21,326.25x = 31,923.76 × 13,914.75
  4. Step 4: Simplify right side
    21,326.25x = 444,210,945.05
  5. Step 5: Solve for x
    x = 444,210,945.05/21,326.25
  6. Step 6: Final answer
    x = 20,829.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.