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Finding the Fourth Proportional to 23,291.38, 34,937.48 and 7,709.41

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Solution

The fourth proportional to 23,291.38, 34,937.48 and 7,709.41 is: 11,564.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,291.38 : 34,937.48 = 7,709.41 : x
  2. Step 2: Convert to fraction form
    23,291.38/34,937.48 = 7,709.41/x
  3. Step 3: Cross multiply
    23,291.38x = 34,937.48 × 7,709.41
  4. Step 4: Simplify right side
    23,291.38x = 269,347,357.69
  5. Step 5: Solve for x
    x = 269,347,357.69/23,291.38
  6. Step 6: Final answer
    x = 11,564.25

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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.