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Finding the Fourth Proportional to 25,453.52, 38,185.76 and 7,682.69

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Solution

The fourth proportional to 25,453.52, 38,185.76 and 7,682.69 is: 11,525.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,453.52 : 38,185.76 = 7,682.69 : x
  2. Step 2: Convert to fraction form
    25,453.52/38,185.76 = 7,682.69/x
  3. Step 3: Cross multiply
    25,453.52x = 38,185.76 × 7,682.69
  4. Step 4: Simplify right side
    25,453.52x = 293,369,165.57
  5. Step 5: Solve for x
    x = 293,369,165.57/25,453.52
  6. Step 6: Final answer
    x = 11,525.68

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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.