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Finding the Fourth Proportional to 17,142.02, 23,649 and 11,171.50

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Solution

The fourth proportional to 17,142.02, 23,649 and 11,171.50 is: 15,412.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,142.02 : 23,649 = 11,171.50 : x
  2. Step 2: Convert to fraction form
    17,142.02/23,649 = 11,171.50/x
  3. Step 3: Cross multiply
    17,142.02x = 23,649 × 11,171.50
  4. Step 4: Simplify right side
    17,142.02x = 264,194,803.50
  5. Step 5: Solve for x
    x = 264,194,803.50/17,142.02
  6. Step 6: Final answer
    x = 15,412.12

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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.