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Finding the Fourth Proportional to 23,974.59, 35,974.05 and 16,167

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Solution

The fourth proportional to 23,974.59, 35,974.05 and 16,167 is: 24,258.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,974.59 : 35,974.05 = 16,167 : x
  2. Step 2: Convert to fraction form
    23,974.59/35,974.05 = 16,167/x
  3. Step 3: Cross multiply
    23,974.59x = 35,974.05 × 16,167
  4. Step 4: Simplify right side
    23,974.59x = 581,592,466.35
  5. Step 5: Solve for x
    x = 581,592,466.35/23,974.59
  6. Step 6: Final answer
    x = 24,258.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.