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Finding the Fourth Proportional to 20,076, 27,705.28 and 11,693.04

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Solution

The fourth proportional to 20,076, 27,705.28 and 11,693.04 is: 16,136.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,076 : 27,705.28 = 11,693.04 : x
  2. Step 2: Convert to fraction form
    20,076/27,705.28 = 11,693.04/x
  3. Step 3: Cross multiply
    20,076x = 27,705.28 × 11,693.04
  4. Step 4: Simplify right side
    20,076x = 323,958,947.25
  5. Step 5: Solve for x
    x = 323,958,947.25/20,076
  6. Step 6: Final answer
    x = 16,136.63

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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.