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Finding the Fourth Proportional to 15,628.56, 23,450.04 and 7,842.96

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Solution

The fourth proportional to 15,628.56, 23,450.04 and 7,842.96 is: 11,768.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,628.56 : 23,450.04 = 7,842.96 : x
  2. Step 2: Convert to fraction form
    15,628.56/23,450.04 = 7,842.96/x
  3. Step 3: Cross multiply
    15,628.56x = 23,450.04 × 7,842.96
  4. Step 4: Simplify right side
    15,628.56x = 183,917,725.72
  5. Step 5: Solve for x
    x = 183,917,725.72/15,628.56
  6. Step 6: Final answer
    x = 11,768.05

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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.