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Finding the Fourth Proportional to 17,243.42, 25,871.27 and 9,854.09

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Solution

The fourth proportional to 17,243.42, 25,871.27 and 9,854.09 is: 14,784.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,243.42 : 25,871.27 = 9,854.09 : x
  2. Step 2: Convert to fraction form
    17,243.42/25,871.27 = 9,854.09/x
  3. Step 3: Cross multiply
    17,243.42x = 25,871.27 × 9,854.09
  4. Step 4: Simplify right side
    17,243.42x = 254,937,644.37
  5. Step 5: Solve for x
    x = 254,937,644.37/17,243.42
  6. Step 6: Final answer
    x = 14,784.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.