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Finding the Fourth Proportional to 16,435.96, 24,651.64 and 5,342.80

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Solution

The fourth proportional to 16,435.96, 24,651.64 and 5,342.80 is: 8,013.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,435.96 : 24,651.64 = 5,342.80 : x
  2. Step 2: Convert to fraction form
    16,435.96/24,651.64 = 5,342.80/x
  3. Step 3: Cross multiply
    16,435.96x = 24,651.64 × 5,342.80
  4. Step 4: Simplify right side
    16,435.96x = 131,708,782.19
  5. Step 5: Solve for x
    x = 131,708,782.19/16,435.96
  6. Step 6: Final answer
    x = 8,013.45

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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.