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Finding the Fourth Proportional to 13,297.64, 18,347.52 and 9,754.64

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Solution

The fourth proportional to 13,297.64, 18,347.52 and 9,754.64 is: 13,459.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,297.64 : 18,347.52 = 9,754.64 : x
  2. Step 2: Convert to fraction form
    13,297.64/18,347.52 = 9,754.64/x
  3. Step 3: Cross multiply
    13,297.64x = 18,347.52 × 9,754.64
  4. Step 4: Simplify right side
    13,297.64x = 178,973,452.49
  5. Step 5: Solve for x
    x = 178,973,452.49/13,297.64
  6. Step 6: Final answer
    x = 13,459.04

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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.