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Finding the Fourth Proportional to 16,856.70, 25,285.05 and 12,166.80

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Solution

The fourth proportional to 16,856.70, 25,285.05 and 12,166.80 is: 18,250.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,856.70 : 25,285.05 = 12,166.80 : x
  2. Step 2: Convert to fraction form
    16,856.70/25,285.05 = 12,166.80/x
  3. Step 3: Cross multiply
    16,856.70x = 25,285.05 × 12,166.80
  4. Step 4: Simplify right side
    16,856.70x = 307,638,146.34
  5. Step 5: Solve for x
    x = 307,638,146.34/16,856.70
  6. Step 6: Final answer
    x = 18,250.20

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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.