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Finding the Fourth Proportional to 19,571.28, 29,347.16 and 6,422.16

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Solution

The fourth proportional to 19,571.28, 29,347.16 and 6,422.16 is: 9,630.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,571.28 : 29,347.16 = 6,422.16 : x
  2. Step 2: Convert to fraction form
    19,571.28/29,347.16 = 6,422.16/x
  3. Step 3: Cross multiply
    19,571.28x = 29,347.16 × 6,422.16
  4. Step 4: Simplify right side
    19,571.28x = 188,472,157.07
  5. Step 5: Solve for x
    x = 188,472,157.07/19,571.28
  6. Step 6: Final answer
    x = 9,630.04

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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.