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Finding the Fourth Proportional to 14,269.64, 19,692.20 and 7,982

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Solution

The fourth proportional to 14,269.64, 19,692.20 and 7,982 is: 11,015.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,269.64 : 19,692.20 = 7,982 : x
  2. Step 2: Convert to fraction form
    14,269.64/19,692.20 = 7,982/x
  3. Step 3: Cross multiply
    14,269.64x = 19,692.20 × 7,982
  4. Step 4: Simplify right side
    14,269.64x = 157,183,140.40
  5. Step 5: Solve for x
    x = 157,183,140.40/14,269.64
  6. Step 6: Final answer
    x = 11,015.21

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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.