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Finding the Fourth Proportional to 19,588.41, 29,394.29 and 7,109.41

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Solution

The fourth proportional to 19,588.41, 29,394.29 and 7,109.41 is: 10,668.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,588.41 : 29,394.29 = 7,109.41 : x
  2. Step 2: Convert to fraction form
    19,588.41/29,394.29 = 7,109.41/x
  3. Step 3: Cross multiply
    19,588.41x = 29,394.29 × 7,109.41
  4. Step 4: Simplify right side
    19,588.41x = 208,975,876.75
  5. Step 5: Solve for x
    x = 208,975,876.75/19,588.41
  6. Step 6: Final answer
    x = 10,668.34

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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.