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Finding the Fourth Proportional to 13,265.10, 18,305.74 and 7,296.64

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Solution

The fourth proportional to 13,265.10, 18,305.74 and 7,296.64 is: 10,069.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,265.10 : 18,305.74 = 7,296.64 : x
  2. Step 2: Convert to fraction form
    13,265.10/18,305.74 = 7,296.64/x
  3. Step 3: Cross multiply
    13,265.10x = 18,305.74 × 7,296.64
  4. Step 4: Simplify right side
    13,265.10x = 133,570,317.03
  5. Step 5: Solve for x
    x = 133,570,317.03/13,265.10
  6. Step 6: Final answer
    x = 10,069.30

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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.