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Finding the Fourth Proportional to 17,933.01, 24,747.49 and 9,975.24

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Solution

The fourth proportional to 17,933.01, 24,747.49 and 9,975.24 is: 13,765.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,933.01 : 24,747.49 = 9,975.24 : x
  2. Step 2: Convert to fraction form
    17,933.01/24,747.49 = 9,975.24/x
  3. Step 3: Cross multiply
    17,933.01x = 24,747.49 × 9,975.24
  4. Step 4: Simplify right side
    17,933.01x = 246,862,152.15
  5. Step 5: Solve for x
    x = 246,862,152.15/17,933.01
  6. Step 6: Final answer
    x = 13,765.80

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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.