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Finding the Fourth Proportional to 25,892.56, 38,814.22 and 16,506.25

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Solution

The fourth proportional to 25,892.56, 38,814.22 and 16,506.25 is: 24,743.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,892.56 : 38,814.22 = 16,506.25 : x
  2. Step 2: Convert to fraction form
    25,892.56/38,814.22 = 16,506.25/x
  3. Step 3: Cross multiply
    25,892.56x = 38,814.22 × 16,506.25
  4. Step 4: Simplify right side
    25,892.56x = 640,677,142.47
  5. Step 5: Solve for x
    x = 640,677,142.47/25,892.56
  6. Step 6: Final answer
    x = 24,743.68

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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.