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Finding the Fourth Proportional to 21,546.64, 29,737.02 and 12,115

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Solution

The fourth proportional to 21,546.64, 29,737.02 and 12,115 is: 16,720.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,546.64 : 29,737.02 = 12,115 : x
  2. Step 2: Convert to fraction form
    21,546.64/29,737.02 = 12,115/x
  3. Step 3: Cross multiply
    21,546.64x = 29,737.02 × 12,115
  4. Step 4: Simplify right side
    21,546.64x = 360,263,997.30
  5. Step 5: Solve for x
    x = 360,263,997.30/21,546.64
  6. Step 6: Final answer
    x = 16,720.19

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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.