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Finding the Fourth Proportional to 17,968.37, 24,796.29 and 10,419.06

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Solution

The fourth proportional to 17,968.37, 24,796.29 and 10,419.06 is: 14,378.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,968.37 : 24,796.29 = 10,419.06 : x
  2. Step 2: Convert to fraction form
    17,968.37/24,796.29 = 10,419.06/x
  3. Step 3: Cross multiply
    17,968.37x = 24,796.29 × 10,419.06
  4. Step 4: Simplify right side
    17,968.37x = 258,354,165.34
  5. Step 5: Solve for x
    x = 258,354,165.34/17,968.37
  6. Step 6: Final answer
    x = 14,378.28

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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.