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Finding the Fourth Proportional to 21,239.22, 31,858.90 and 6,448.26

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Solution

The fourth proportional to 21,239.22, 31,858.90 and 6,448.26 is: 9,672.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,239.22 : 31,858.90 = 6,448.26 : x
  2. Step 2: Convert to fraction form
    21,239.22/31,858.90 = 6,448.26/x
  3. Step 3: Cross multiply
    21,239.22x = 31,858.90 × 6,448.26
  4. Step 4: Simplify right side
    21,239.22x = 205,434,470.51
  5. Step 5: Solve for x
    x = 205,434,470.51/21,239.22
  6. Step 6: Final answer
    x = 9,672.41

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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.