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Finding the Fourth Proportional to 13,433.40, 18,537.18 and 7,464.60

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Solution

The fourth proportional to 13,433.40, 18,537.18 and 7,464.60 is: 10,300.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,433.40 : 18,537.18 = 7,464.60 : x
  2. Step 2: Convert to fraction form
    13,433.40/18,537.18 = 7,464.60/x
  3. Step 3: Cross multiply
    13,433.40x = 18,537.18 × 7,464.60
  4. Step 4: Simplify right side
    13,433.40x = 138,372,633.83
  5. Step 5: Solve for x
    x = 138,372,633.83/13,433.40
  6. Step 6: Final answer
    x = 10,300.64

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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.