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Finding the Fourth Proportional to 17,767.14, 26,645.16 and 6,077.64

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Solution

The fourth proportional to 17,767.14, 26,645.16 and 6,077.64 is: 9,114.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,767.14 : 26,645.16 = 6,077.64 : x
  2. Step 2: Convert to fraction form
    17,767.14/26,645.16 = 6,077.64/x
  3. Step 3: Cross multiply
    17,767.14x = 26,645.16 × 6,077.64
  4. Step 4: Simplify right side
    17,767.14x = 161,939,690.22
  5. Step 5: Solve for x
    x = 161,939,690.22/17,767.14
  6. Step 6: Final answer
    x = 9,114.56

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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.