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Finding the Fourth Proportional to 25,614.50, 38,412.50 and 10,824.56

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Solution

The fourth proportional to 25,614.50, 38,412.50 and 10,824.56 is: 16,232.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,614.50 : 38,412.50 = 10,824.56 : x
  2. Step 2: Convert to fraction form
    25,614.50/38,412.50 = 10,824.56/x
  3. Step 3: Cross multiply
    25,614.50x = 38,412.50 × 10,824.56
  4. Step 4: Simplify right side
    25,614.50x = 415,798,218.94
  5. Step 5: Solve for x
    x = 415,798,218.94/25,614.50
  6. Step 6: Final answer
    x = 16,232.93

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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.