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Finding the Fourth Proportional to 25,162.65, 37,744.79 and 7,632.63

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Solution

The fourth proportional to 25,162.65, 37,744.79 and 7,632.63 is: 11,449.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,162.65 : 37,744.79 = 7,632.63 : x
  2. Step 2: Convert to fraction form
    25,162.65/37,744.79 = 7,632.63/x
  3. Step 3: Cross multiply
    25,162.65x = 37,744.79 × 7,632.63
  4. Step 4: Simplify right side
    25,162.65x = 288,091,978.33
  5. Step 5: Solve for x
    x = 288,091,978.33/25,162.65
  6. Step 6: Final answer
    x = 11,449.19

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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.