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Finding the Fourth Proportional to 13,852.30, 20,770.17 and 6,458.41

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Solution

The fourth proportional to 13,852.30, 20,770.17 and 6,458.41 is: 9,683.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,852.30 : 20,770.17 = 6,458.41 : x
  2. Step 2: Convert to fraction form
    13,852.30/20,770.17 = 6,458.41/x
  3. Step 3: Cross multiply
    13,852.30x = 20,770.17 × 6,458.41
  4. Step 4: Simplify right side
    13,852.30x = 134,142,273.63
  5. Step 5: Solve for x
    x = 134,142,273.63/13,852.30
  6. Step 6: Final answer
    x = 9,683.75

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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.