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Finding the Fourth Proportional to 17,781.64, 26,676.43 and 6,688.42

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Solution

The fourth proportional to 17,781.64, 26,676.43 and 6,688.42 is: 10,034.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,781.64 : 26,676.43 = 6,688.42 : x
  2. Step 2: Convert to fraction form
    17,781.64/26,676.43 = 6,688.42/x
  3. Step 3: Cross multiply
    17,781.64x = 26,676.43 × 6,688.42
  4. Step 4: Simplify right side
    17,781.64x = 178,423,272.21
  5. Step 5: Solve for x
    x = 178,423,272.21/17,781.64
  6. Step 6: Final answer
    x = 10,034.13

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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.