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Finding the Fourth Proportional to 13,235.09, 18,265.10 and 8,202.02

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Solution

The fourth proportional to 13,235.09, 18,265.10 and 8,202.02 is: 11,319.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,235.09 : 18,265.10 = 8,202.02 : x
  2. Step 2: Convert to fraction form
    13,235.09/18,265.10 = 8,202.02/x
  3. Step 3: Cross multiply
    13,235.09x = 18,265.10 × 8,202.02
  4. Step 4: Simplify right side
    13,235.09x = 149,810,583.17
  5. Step 5: Solve for x
    x = 149,810,583.17/13,235.09
  6. Step 6: Final answer
    x = 11,319.20

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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.