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Finding the Fourth Proportional to 16,448.26, 24,672.64 and 4,761.52

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Solution

The fourth proportional to 16,448.26, 24,672.64 and 4,761.52 is: 7,142.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,448.26 : 24,672.64 = 4,761.52 : x
  2. Step 2: Convert to fraction form
    16,448.26/24,672.64 = 4,761.52/x
  3. Step 3: Cross multiply
    16,448.26x = 24,672.64 × 4,761.52
  4. Step 4: Simplify right side
    16,448.26x = 117,479,268.81
  5. Step 5: Solve for x
    x = 117,479,268.81/16,448.26
  6. Step 6: Final answer
    x = 7,142.35

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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.