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Finding the Fourth Proportional to 12,406.08, 18,616.64 and 5,009.60

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Solution

The fourth proportional to 12,406.08, 18,616.64 and 5,009.60 is: 7,517.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,406.08 : 18,616.64 = 5,009.60 : x
  2. Step 2: Convert to fraction form
    12,406.08/18,616.64 = 5,009.60/x
  3. Step 3: Cross multiply
    12,406.08x = 18,616.64 × 5,009.60
  4. Step 4: Simplify right side
    12,406.08x = 93,261,919.74
  5. Step 5: Solve for x
    x = 93,261,919.74/12,406.08
  6. Step 6: Final answer
    x = 7,517.44

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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.