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Finding the Fourth Proportional to 25,676.55, 35,414.69 and 16,236

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Solution

The fourth proportional to 25,676.55, 35,414.69 and 16,236 is: 22,393.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,676.55 : 35,414.69 = 16,236 : x
  2. Step 2: Convert to fraction form
    25,676.55/35,414.69 = 16,236/x
  3. Step 3: Cross multiply
    25,676.55x = 35,414.69 × 16,236
  4. Step 4: Simplify right side
    25,676.55x = 574,992,825.66
  5. Step 5: Solve for x
    x = 574,992,825.66/25,676.55
  6. Step 6: Final answer
    x = 22,393.69

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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.