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Finding the Fourth Proportional to 13,464.08, 18,580.56 and 7,874

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Solution

The fourth proportional to 13,464.08, 18,580.56 and 7,874 is: 10,866.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,464.08 : 18,580.56 = 7,874 : x
  2. Step 2: Convert to fraction form
    13,464.08/18,580.56 = 7,874/x
  3. Step 3: Cross multiply
    13,464.08x = 18,580.56 × 7,874
  4. Step 4: Simplify right side
    13,464.08x = 146,303,329.44
  5. Step 5: Solve for x
    x = 146,303,329.44/13,464.08
  6. Step 6: Final answer
    x = 10,866.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.