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Finding the Fourth Proportional to 18,268.96, 27,384 and 9,495.04

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Solution

The fourth proportional to 18,268.96, 27,384 and 9,495.04 is: 14,232.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,268.96 : 27,384 = 9,495.04 : x
  2. Step 2: Convert to fraction form
    18,268.96/27,384 = 9,495.04/x
  3. Step 3: Cross multiply
    18,268.96x = 27,384 × 9,495.04
  4. Step 4: Simplify right side
    18,268.96x = 260,012,175.36
  5. Step 5: Solve for x
    x = 260,012,175.36/18,268.96
  6. Step 6: Final answer
    x = 14,232.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.