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Finding the Fourth Proportional to 25,163.65, 37,746.29 and 7,633.63

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Solution

The fourth proportional to 25,163.65, 37,746.29 and 7,633.63 is: 11,450.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,163.65 : 37,746.29 = 7,633.63 : x
  2. Step 2: Convert to fraction form
    25,163.65/37,746.29 = 7,633.63/x
  3. Step 3: Cross multiply
    25,163.65x = 37,746.29 × 7,633.63
  4. Step 4: Simplify right side
    25,163.65x = 288,141,211.73
  5. Step 5: Solve for x
    x = 288,141,211.73/25,163.65
  6. Step 6: Final answer
    x = 11,450.69

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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.