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Finding the Fourth Proportional to 13,174.65, 19,759.91 and 4,290.30

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Solution

The fourth proportional to 13,174.65, 19,759.91 and 4,290.30 is: 6,434.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,174.65 : 19,759.91 = 4,290.30 : x
  2. Step 2: Convert to fraction form
    13,174.65/19,759.91 = 4,290.30/x
  3. Step 3: Cross multiply
    13,174.65x = 19,759.91 × 4,290.30
  4. Step 4: Simplify right side
    13,174.65x = 84,775,920.42
  5. Step 5: Solve for x
    x = 84,775,920.42/13,174.65
  6. Step 6: Final answer
    x = 6,434.78

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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.