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Finding the Fourth Proportional to 13,658.34, 20,475.33 and 5,336.43

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Solution

The fourth proportional to 13,658.34, 20,475.33 and 5,336.43 is: 7,999.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,658.34 : 20,475.33 = 5,336.43 : x
  2. Step 2: Convert to fraction form
    13,658.34/20,475.33 = 5,336.43/x
  3. Step 3: Cross multiply
    13,658.34x = 20,475.33 × 5,336.43
  4. Step 4: Simplify right side
    13,658.34x = 109,265,165.27
  5. Step 5: Solve for x
    x = 109,265,165.27/13,658.34
  6. Step 6: Final answer
    x = 7,999.89

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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.