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Finding the Fourth Proportional to 14,122.82, 21,172.16 and 5,797.64

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Solution

The fourth proportional to 14,122.82, 21,172.16 and 5,797.64 is: 8,691.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,122.82 : 21,172.16 = 5,797.64 : x
  2. Step 2: Convert to fraction form
    14,122.82/21,172.16 = 5,797.64/x
  3. Step 3: Cross multiply
    14,122.82x = 21,172.16 × 5,797.64
  4. Step 4: Simplify right side
    14,122.82x = 122,748,629.13
  5. Step 5: Solve for x
    x = 122,748,629.13/14,122.82
  6. Step 6: Final answer
    x = 8,691.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.