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Finding the Fourth Proportional to 13,265.64, 18,306.09 and 7,297.29

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Solution

The fourth proportional to 13,265.64, 18,306.09 and 7,297.29 is: 10,069.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,265.64 : 18,306.09 = 7,297.29 : x
  2. Step 2: Convert to fraction form
    13,265.64/18,306.09 = 7,297.29/x
  3. Step 3: Cross multiply
    13,265.64x = 18,306.09 × 7,297.29
  4. Step 4: Simplify right side
    13,265.64x = 133,584,847.50
  5. Step 5: Solve for x
    x = 133,584,847.50/13,265.64
  6. Step 6: Final answer
    x = 10,069.99

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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.