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Finding the Fourth Proportional to 23,638.70, 35,463.51 and 7,842.56

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Solution

The fourth proportional to 23,638.70, 35,463.51 and 7,842.56 is: 11,765.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,638.70 : 35,463.51 = 7,842.56 : x
  2. Step 2: Convert to fraction form
    23,638.70/35,463.51 = 7,842.56/x
  3. Step 3: Cross multiply
    23,638.70x = 35,463.51 × 7,842.56
  4. Step 4: Simplify right side
    23,638.70x = 278,124,527.67
  5. Step 5: Solve for x
    x = 278,124,527.67/23,638.70
  6. Step 6: Final answer
    x = 11,765.64

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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.