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Finding the Fourth Proportional to 16,357.26, 24,538.50 and 6,496.59

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Solution

The fourth proportional to 16,357.26, 24,538.50 and 6,496.59 is: 9,745.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,357.26 : 24,538.50 = 6,496.59 : x
  2. Step 2: Convert to fraction form
    16,357.26/24,538.50 = 6,496.59/x
  3. Step 3: Cross multiply
    16,357.26x = 24,538.50 × 6,496.59
  4. Step 4: Simplify right side
    16,357.26x = 159,416,573.72
  5. Step 5: Solve for x
    x = 159,416,573.72/16,357.26
  6. Step 6: Final answer
    x = 9,745.92

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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.