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Finding the Fourth Proportional to 15,682.14, 23,496.69 and 7,774.02

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Solution

The fourth proportional to 15,682.14, 23,496.69 and 7,774.02 is: 11,647.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,682.14 : 23,496.69 = 7,774.02 : x
  2. Step 2: Convert to fraction form
    15,682.14/23,496.69 = 7,774.02/x
  3. Step 3: Cross multiply
    15,682.14x = 23,496.69 × 7,774.02
  4. Step 4: Simplify right side
    15,682.14x = 182,663,737.99
  5. Step 5: Solve for x
    x = 182,663,737.99/15,682.14
  6. Step 6: Final answer
    x = 11,647.88

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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.