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Finding the Fourth Proportional to 16,464.80, 24,678.64 and 8,127.12

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Solution

The fourth proportional to 16,464.80, 24,678.64 and 8,127.12 is: 12,181.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,464.80 : 24,678.64 = 8,127.12 : x
  2. Step 2: Convert to fraction form
    16,464.80/24,678.64 = 8,127.12/x
  3. Step 3: Cross multiply
    16,464.80x = 24,678.64 × 8,127.12
  4. Step 4: Simplify right side
    16,464.80x = 200,566,268.72
  5. Step 5: Solve for x
    x = 200,566,268.72/16,464.80
  6. Step 6: Final answer
    x = 12,181.52

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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.