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Finding the Fourth Proportional to 13,268.08, 18,310.17 and 7,300

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Solution

The fourth proportional to 13,268.08, 18,310.17 and 7,300 is: 10,074.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,268.08 : 18,310.17 = 7,300 : x
  2. Step 2: Convert to fraction form
    13,268.08/18,310.17 = 7,300/x
  3. Step 3: Cross multiply
    13,268.08x = 18,310.17 × 7,300
  4. Step 4: Simplify right side
    13,268.08x = 133,664,241.00
  5. Step 5: Solve for x
    x = 133,664,241.00/13,268.08
  6. Step 6: Final answer
    x = 10,074.12

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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.