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Finding the Fourth Proportional to 23,141.17, 34,712.96 and 7,347.44

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Solution

The fourth proportional to 23,141.17, 34,712.96 and 7,347.44 is: 11,021.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,141.17 : 34,712.96 = 7,347.44 : x
  2. Step 2: Convert to fraction form
    23,141.17/34,712.96 = 7,347.44/x
  3. Step 3: Cross multiply
    23,141.17x = 34,712.96 × 7,347.44
  4. Step 4: Simplify right side
    23,141.17x = 255,051,355.92
  5. Step 5: Solve for x
    x = 255,051,355.92/23,141.17
  6. Step 6: Final answer
    x = 11,021.54

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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.