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Finding the Fourth Proportional to 19,754.24, 29,643.02 and 7,282.97

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Solution

The fourth proportional to 19,754.24, 29,643.02 and 7,282.97 is: 10,928.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,754.24 : 29,643.02 = 7,282.97 : x
  2. Step 2: Convert to fraction form
    19,754.24/29,643.02 = 7,282.97/x
  3. Step 3: Cross multiply
    19,754.24x = 29,643.02 × 7,282.97
  4. Step 4: Simplify right side
    19,754.24x = 215,889,225.37
  5. Step 5: Solve for x
    x = 215,889,225.37/19,754.24
  6. Step 6: Final answer
    x = 10,928.75

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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.