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Finding the Fourth Proportional to 19,507.69, 29,234.13 and 11,175.22

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Solution

The fourth proportional to 19,507.69, 29,234.13 and 11,175.22 is: 16,747.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,507.69 : 29,234.13 = 11,175.22 : x
  2. Step 2: Convert to fraction form
    19,507.69/29,234.13 = 11,175.22/x
  3. Step 3: Cross multiply
    19,507.69x = 29,234.13 × 11,175.22
  4. Step 4: Simplify right side
    19,507.69x = 326,697,834.26
  5. Step 5: Solve for x
    x = 326,697,834.26/19,507.69
  6. Step 6: Final answer
    x = 16,747.13

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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.