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Finding the Fourth Proportional to 23,077.43, 34,619 and 9,035.63

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Solution

The fourth proportional to 23,077.43, 34,619 and 9,035.63 is: 13,554.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,077.43 : 34,619 = 9,035.63 : x
  2. Step 2: Convert to fraction form
    23,077.43/34,619 = 9,035.63/x
  3. Step 3: Cross multiply
    23,077.43x = 34,619 × 9,035.63
  4. Step 4: Simplify right side
    23,077.43x = 312,804,474.97
  5. Step 5: Solve for x
    x = 312,804,474.97/23,077.43
  6. Step 6: Final answer
    x = 13,554.56

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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.