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Finding the Fourth Proportional to 16,268.96, 24,411.60 and 6,415.28

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Solution

The fourth proportional to 16,268.96, 24,411.60 and 6,415.28 is: 9,626.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,268.96 : 24,411.60 = 6,415.28 : x
  2. Step 2: Convert to fraction form
    16,268.96/24,411.60 = 6,415.28/x
  3. Step 3: Cross multiply
    16,268.96x = 24,411.60 × 6,415.28
  4. Step 4: Simplify right side
    16,268.96x = 156,607,249.25
  5. Step 5: Solve for x
    x = 156,607,249.25/16,268.96
  6. Step 6: Final answer
    x = 9,626.14

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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.