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Finding the Fourth Proportional to 21,242.69, 31,864.63 and 7,202.75

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Solution

The fourth proportional to 21,242.69, 31,864.63 and 7,202.75 is: 10,804.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,242.69 : 31,864.63 = 7,202.75 : x
  2. Step 2: Convert to fraction form
    21,242.69/31,864.63 = 7,202.75/x
  3. Step 3: Cross multiply
    21,242.69x = 31,864.63 × 7,202.75
  4. Step 4: Simplify right side
    21,242.69x = 229,512,963.73
  5. Step 5: Solve for x
    x = 229,512,963.73/21,242.69
  6. Step 6: Final answer
    x = 10,804.33

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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.