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Finding the Fourth Proportional to 21,202.44, 31,804.07 and 6,410.43

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Solution

The fourth proportional to 21,202.44, 31,804.07 and 6,410.43 is: 9,615.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,202.44 : 31,804.07 = 6,410.43 : x
  2. Step 2: Convert to fraction form
    21,202.44/31,804.07 = 6,410.43/x
  3. Step 3: Cross multiply
    21,202.44x = 31,804.07 × 6,410.43
  4. Step 4: Simplify right side
    21,202.44x = 203,877,732.40
  5. Step 5: Solve for x
    x = 203,877,732.40/21,202.44
  6. Step 6: Final answer
    x = 9,615.77

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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.