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Finding the Fourth Proportional to 23,101.41, 34,654.29 and 6,461.44

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Solution

The fourth proportional to 23,101.41, 34,654.29 and 6,461.44 is: 9,692.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,101.41 : 34,654.29 = 6,461.44 : x
  2. Step 2: Convert to fraction form
    23,101.41/34,654.29 = 6,461.44/x
  3. Step 3: Cross multiply
    23,101.41x = 34,654.29 × 6,461.44
  4. Step 4: Simplify right side
    23,101.41x = 223,916,615.58
  5. Step 5: Solve for x
    x = 223,916,615.58/23,101.41
  6. Step 6: Final answer
    x = 9,692.77

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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.