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Finding the Fourth Proportional to 19,768.38, 29,645.42 and 6,617.69

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Solution

The fourth proportional to 19,768.38, 29,645.42 and 6,617.69 is: 9,924.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,768.38 : 29,645.42 = 6,617.69 : x
  2. Step 2: Convert to fraction form
    19,768.38/29,645.42 = 6,617.69/x
  3. Step 3: Cross multiply
    19,768.38x = 29,645.42 × 6,617.69
  4. Step 4: Simplify right side
    19,768.38x = 196,184,018.16
  5. Step 5: Solve for x
    x = 196,184,018.16/19,768.38
  6. Step 6: Final answer
    x = 9,924.13

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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.