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Finding the Fourth Proportional to 21,172.64, 29,217.24 and 11,741.00

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Solution

The fourth proportional to 21,172.64, 29,217.24 and 11,741.00 is: 16,202.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,172.64 : 29,217.24 = 11,741.00 : x
  2. Step 2: Convert to fraction form
    21,172.64/29,217.24 = 11,741.00/x
  3. Step 3: Cross multiply
    21,172.64x = 29,217.24 × 11,741.00
  4. Step 4: Simplify right side
    21,172.64x = 343,039,468.75
  5. Step 5: Solve for x
    x = 343,039,468.75/21,172.64
  6. Step 6: Final answer
    x = 16,202.02

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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.