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Finding the Fourth Proportional to 23,238.86, 34,842.88 and 8,446.02

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Solution

The fourth proportional to 23,238.86, 34,842.88 and 8,446.02 is: 12,663.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,238.86 : 34,842.88 = 8,446.02 : x
  2. Step 2: Convert to fraction form
    23,238.86/34,842.88 = 8,446.02/x
  3. Step 3: Cross multiply
    23,238.86x = 34,842.88 × 8,446.02
  4. Step 4: Simplify right side
    23,238.86x = 294,283,661.34
  5. Step 5: Solve for x
    x = 294,283,661.34/23,238.86
  6. Step 6: Final answer
    x = 12,663.43

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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.