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Finding the Fourth Proportional to 23,076.31, 34,592.58 and 7,483

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Solution

The fourth proportional to 23,076.31, 34,592.58 and 7,483 is: 11,217.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,076.31 : 34,592.58 = 7,483 : x
  2. Step 2: Convert to fraction form
    23,076.31/34,592.58 = 7,483/x
  3. Step 3: Cross multiply
    23,076.31x = 34,592.58 × 7,483
  4. Step 4: Simplify right side
    23,076.31x = 258,856,276.14
  5. Step 5: Solve for x
    x = 258,856,276.14/23,076.31
  6. Step 6: Final answer
    x = 11,217.40

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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.