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Finding the Fourth Proportional to 13,348.48, 20,027.04 and 9,400

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Solution

The fourth proportional to 13,348.48, 20,027.04 and 9,400 is: 14,103.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,348.48 : 20,027.04 = 9,400 : x
  2. Step 2: Convert to fraction form
    13,348.48/20,027.04 = 9,400/x
  3. Step 3: Cross multiply
    13,348.48x = 20,027.04 × 9,400
  4. Step 4: Simplify right side
    13,348.48x = 188,254,176
  5. Step 5: Solve for x
    x = 188,254,176/13,348.48
  6. Step 6: Final answer
    x = 14,103.04

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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.