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Finding the Fourth Proportional to 17,224.02, 23,768.64 and 9,670.14

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Solution

The fourth proportional to 17,224.02, 23,768.64 and 9,670.14 is: 13,344.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,224.02 : 23,768.64 = 9,670.14 : x
  2. Step 2: Convert to fraction form
    17,224.02/23,768.64 = 9,670.14/x
  3. Step 3: Cross multiply
    17,224.02x = 23,768.64 × 9,670.14
  4. Step 4: Simplify right side
    17,224.02x = 229,846,076.41
  5. Step 5: Solve for x
    x = 229,846,076.41/17,224.02
  6. Step 6: Final answer
    x = 13,344.51

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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.