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Finding the Fourth Proportional to 17,024, 23,495.36 and 9,955.20

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Solution

The fourth proportional to 17,024, 23,495.36 and 9,955.20 is: 13,739.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,024 : 23,495.36 = 9,955.20 : x
  2. Step 2: Convert to fraction form
    17,024/23,495.36 = 9,955.20/x
  3. Step 3: Cross multiply
    17,024x = 23,495.36 × 9,955.20
  4. Step 4: Simplify right side
    17,024x = 233,901,007.87
  5. Step 5: Solve for x
    x = 233,901,007.87/17,024
  6. Step 6: Final answer
    x = 13,739.49

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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.