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Finding the Fourth Proportional to 13,758.30, 20,640.32 and 6,258.30

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Solution

The fourth proportional to 13,758.30, 20,640.32 and 6,258.30 is: 9,388.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,758.30 : 20,640.32 = 6,258.30 : x
  2. Step 2: Convert to fraction form
    13,758.30/20,640.32 = 6,258.30/x
  3. Step 3: Cross multiply
    13,758.30x = 20,640.32 × 6,258.30
  4. Step 4: Simplify right side
    13,758.30x = 129,173,314.66
  5. Step 5: Solve for x
    x = 129,173,314.66/13,758.30
  6. Step 6: Final answer
    x = 9,388.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.