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Finding the Fourth Proportional to 13,902.46, 20,853.78 and 4,668.46

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Solution

The fourth proportional to 13,902.46, 20,853.78 and 4,668.46 is: 7,002.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,902.46 : 20,853.78 = 4,668.46 : x
  2. Step 2: Convert to fraction form
    13,902.46/20,853.78 = 4,668.46/x
  3. Step 3: Cross multiply
    13,902.46x = 20,853.78 × 4,668.46
  4. Step 4: Simplify right side
    13,902.46x = 97,355,037.78
  5. Step 5: Solve for x
    x = 97,355,037.78/13,902.46
  6. Step 6: Final answer
    x = 7,002.72

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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.