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Finding the Fourth Proportional to 24,754.14, 34,155.36 and 15,682.14

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Solution

The fourth proportional to 24,754.14, 34,155.36 and 15,682.14 is: 21,637.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,754.14 : 34,155.36 = 15,682.14 : x
  2. Step 2: Convert to fraction form
    24,754.14/34,155.36 = 15,682.14/x
  3. Step 3: Cross multiply
    24,754.14x = 34,155.36 × 15,682.14
  4. Step 4: Simplify right side
    24,754.14x = 535,629,137.27
  5. Step 5: Solve for x
    x = 535,629,137.27/24,754.14
  6. Step 6: Final answer
    x = 21,637.96

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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.