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Finding the Fourth Proportional to 23,800.31, 32,842.83 and 13,045.06

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Solution

The fourth proportional to 23,800.31, 32,842.83 and 13,045.06 is: 18,001.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,800.31 : 32,842.83 = 13,045.06 : x
  2. Step 2: Convert to fraction form
    23,800.31/32,842.83 = 13,045.06/x
  3. Step 3: Cross multiply
    23,800.31x = 32,842.83 × 13,045.06
  4. Step 4: Simplify right side
    23,800.31x = 428,436,687.92
  5. Step 5: Solve for x
    x = 428,436,687.92/23,800.31
  6. Step 6: Final answer
    x = 18,001.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.