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Finding the Fourth Proportional to 16,692.46, 23,035 and 9,976.54

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Solution

The fourth proportional to 16,692.46, 23,035 and 9,976.54 is: 13,767.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,692.46 : 23,035 = 9,976.54 : x
  2. Step 2: Convert to fraction form
    16,692.46/23,035 = 9,976.54/x
  3. Step 3: Cross multiply
    16,692.46x = 23,035 × 9,976.54
  4. Step 4: Simplify right side
    16,692.46x = 229,809,598.90
  5. Step 5: Solve for x
    x = 229,809,598.90/16,692.46
  6. Step 6: Final answer
    x = 13,767.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.