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Finding the Fourth Proportional to 23,102.25, 34,652.01 and 6,461.91

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Solution

The fourth proportional to 23,102.25, 34,652.01 and 6,461.91 is: 9,692.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,102.25 : 34,652.01 = 6,461.91 : x
  2. Step 2: Convert to fraction form
    23,102.25/34,652.01 = 6,461.91/x
  3. Step 3: Cross multiply
    23,102.25x = 34,652.01 × 6,461.91
  4. Step 4: Simplify right side
    23,102.25x = 223,918,169.94
  5. Step 5: Solve for x
    x = 223,918,169.94/23,102.25
  6. Step 6: Final answer
    x = 9,692.48

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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.