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Finding the Fourth Proportional to 17,646.02, 26,452.78 and 7,644.48

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Solution

The fourth proportional to 17,646.02, 26,452.78 and 7,644.48 is: 11,459.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,646.02 : 26,452.78 = 7,644.48 : x
  2. Step 2: Convert to fraction form
    17,646.02/26,452.78 = 7,644.48/x
  3. Step 3: Cross multiply
    17,646.02x = 26,452.78 × 7,644.48
  4. Step 4: Simplify right side
    17,646.02x = 202,217,629.35
  5. Step 5: Solve for x
    x = 202,217,629.35/17,646.02
  6. Step 6: Final answer
    x = 11,459.68

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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.