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Finding the Fourth Proportional to 25,754.23, 38,566 and 21,583.27

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Solution

The fourth proportional to 25,754.23, 38,566 and 21,583.27 is: 32,320.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,754.23 : 38,566 = 21,583.27 : x
  2. Step 2: Convert to fraction form
    25,754.23/38,566 = 21,583.27/x
  3. Step 3: Cross multiply
    25,754.23x = 38,566 × 21,583.27
  4. Step 4: Simplify right side
    25,754.23x = 832,380,390.82
  5. Step 5: Solve for x
    x = 832,380,390.82/25,754.23
  6. Step 6: Final answer
    x = 32,320.14

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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.