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Finding the Fourth Proportional to 25,517.61, 35,221.23 and 16,564.59

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Solution

The fourth proportional to 25,517.61, 35,221.23 and 16,564.59 is: 22,863.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,517.61 : 35,221.23 = 16,564.59 : x
  2. Step 2: Convert to fraction form
    25,517.61/35,221.23 = 16,564.59/x
  3. Step 3: Cross multiply
    25,517.61x = 35,221.23 × 16,564.59
  4. Step 4: Simplify right side
    25,517.61x = 583,425,234.25
  5. Step 5: Solve for x
    x = 583,425,234.25/25,517.61
  6. Step 6: Final answer
    x = 22,863.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.