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Finding the Fourth Proportional to 21,238.28, 31,862.06 and 6,448.36

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Solution

The fourth proportional to 21,238.28, 31,862.06 and 6,448.36 is: 9,673.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,238.28 : 31,862.06 = 6,448.36 : x
  2. Step 2: Convert to fraction form
    21,238.28/31,862.06 = 6,448.36/x
  3. Step 3: Cross multiply
    21,238.28x = 31,862.06 × 6,448.36
  4. Step 4: Simplify right side
    21,238.28x = 205,458,005.25
  5. Step 5: Solve for x
    x = 205,458,005.25/21,238.28
  6. Step 6: Final answer
    x = 9,673.95

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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.