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Finding the Fourth Proportional to 27,142.48, 40,659 and 13,592.80

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Solution

The fourth proportional to 27,142.48, 40,659 and 13,592.80 is: 20,361.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,142.48 : 40,659 = 13,592.80 : x
  2. Step 2: Convert to fraction form
    27,142.48/40,659 = 13,592.80/x
  3. Step 3: Cross multiply
    27,142.48x = 40,659 × 13,592.80
  4. Step 4: Simplify right side
    27,142.48x = 552,669,655.20
  5. Step 5: Solve for x
    x = 552,669,655.20/27,142.48
  6. Step 6: Final answer
    x = 20,361.80

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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.