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Finding the Fourth Proportional to 23,115.38, 34,675.80 and 7,533

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Solution

The fourth proportional to 23,115.38, 34,675.80 and 7,533 is: 11,300.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,115.38 : 34,675.80 = 7,533 : x
  2. Step 2: Convert to fraction form
    23,115.38/34,675.80 = 7,533/x
  3. Step 3: Cross multiply
    23,115.38x = 34,675.80 × 7,533
  4. Step 4: Simplify right side
    23,115.38x = 261,212,773.15
  5. Step 5: Solve for x
    x = 261,212,773.15/23,115.38
  6. Step 6: Final answer
    x = 11,300.39

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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.