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Finding the Fourth Proportional to 21,735.72, 29,997.80 and 13,242.80

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Solution

The fourth proportional to 21,735.72, 29,997.80 and 13,242.80 is: 18,276.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,735.72 : 29,997.80 = 13,242.80 : x
  2. Step 2: Convert to fraction form
    21,735.72/29,997.80 = 13,242.80/x
  3. Step 3: Cross multiply
    21,735.72x = 29,997.80 × 13,242.80
  4. Step 4: Simplify right side
    21,735.72x = 397,254,865.84
  5. Step 5: Solve for x
    x = 397,254,865.84/21,735.72
  6. Step 6: Final answer
    x = 18,276.59

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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.