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Finding the Fourth Proportional to 25,821.14, 35,644.02 and 21,862.76

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Solution

The fourth proportional to 25,821.14, 35,644.02 and 21,862.76 is: 30,179.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,821.14 : 35,644.02 = 21,862.76 : x
  2. Step 2: Convert to fraction form
    25,821.14/35,644.02 = 21,862.76/x
  3. Step 3: Cross multiply
    25,821.14x = 35,644.02 × 21,862.76
  4. Step 4: Simplify right side
    25,821.14x = 779,276,654.70
  5. Step 5: Solve for x
    x = 779,276,654.70/25,821.14
  6. Step 6: Final answer
    x = 30,179.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.