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Finding the Fourth Proportional to 13,586.96, 20,375.46 and 4,700.04

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Solution

The fourth proportional to 13,586.96, 20,375.46 and 4,700.04 is: 7,048.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,586.96 : 20,375.46 = 4,700.04 : x
  2. Step 2: Convert to fraction form
    13,586.96/20,375.46 = 4,700.04/x
  3. Step 3: Cross multiply
    13,586.96x = 20,375.46 × 4,700.04
  4. Step 4: Simplify right side
    13,586.96x = 95,765,477.02
  5. Step 5: Solve for x
    x = 95,765,477.02/13,586.96
  6. Step 6: Final answer
    x = 7,048.34

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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.