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Finding the Fourth Proportional to 23,193.76, 34,794.77 and 7,402.26

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Solution

The fourth proportional to 23,193.76, 34,794.77 and 7,402.26 is: 11,104.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,193.76 : 34,794.77 = 7,402.26 : x
  2. Step 2: Convert to fraction form
    23,193.76/34,794.77 = 7,402.26/x
  3. Step 3: Cross multiply
    23,193.76x = 34,794.77 × 7,402.26
  4. Step 4: Simplify right side
    23,193.76x = 257,559,934.18
  5. Step 5: Solve for x
    x = 257,559,934.18/23,193.76
  6. Step 6: Final answer
    x = 11,104.71

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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.