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Finding the Fourth Proportional to 17,425.56, 24,047.16 and 9,975

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Solution

The fourth proportional to 17,425.56, 24,047.16 and 9,975 is: 13,765.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,425.56 : 24,047.16 = 9,975 : x
  2. Step 2: Convert to fraction form
    17,425.56/24,047.16 = 9,975/x
  3. Step 3: Cross multiply
    17,425.56x = 24,047.16 × 9,975
  4. Step 4: Simplify right side
    17,425.56x = 239,870,421
  5. Step 5: Solve for x
    x = 239,870,421/17,425.56
  6. Step 6: Final answer
    x = 13,765.44

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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.