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Finding the Fourth Proportional to 19,588.67, 29,394.66 and 7,109.66

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Solution

The fourth proportional to 19,588.67, 29,394.66 and 7,109.66 is: 10,668.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,588.67 : 29,394.66 = 7,109.66 : x
  2. Step 2: Convert to fraction form
    19,588.67/29,394.66 = 7,109.66/x
  3. Step 3: Cross multiply
    19,588.67x = 29,394.66 × 7,109.66
  4. Step 4: Simplify right side
    19,588.67x = 208,985,891.44
  5. Step 5: Solve for x
    x = 208,985,891.44/19,588.67
  6. Step 6: Final answer
    x = 10,668.72

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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.