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Finding the Fourth Proportional to 25,561.37, 38,344.79 and 7,792.00

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Solution

The fourth proportional to 25,561.37, 38,344.79 and 7,792.00 is: 11,688.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,561.37 : 38,344.79 = 7,792.00 : x
  2. Step 2: Convert to fraction form
    25,561.37/38,344.79 = 7,792.00/x
  3. Step 3: Cross multiply
    25,561.37x = 38,344.79 × 7,792.00
  4. Step 4: Simplify right side
    25,561.37x = 298,782,527.30
  5. Step 5: Solve for x
    x = 298,782,527.30/25,561.37
  6. Step 6: Final answer
    x = 11,688.83

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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.