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Finding the Fourth Proportional to 16,814.70, 25,246.35 and 12,683.70

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Solution

The fourth proportional to 16,814.70, 25,246.35 and 12,683.70 is: 19,043.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,814.70 : 25,246.35 = 12,683.70 : x
  2. Step 2: Convert to fraction form
    16,814.70/25,246.35 = 12,683.70/x
  3. Step 3: Cross multiply
    16,814.70x = 25,246.35 × 12,683.70
  4. Step 4: Simplify right side
    16,814.70x = 320,217,129.50
  5. Step 5: Solve for x
    x = 320,217,129.50/16,814.70
  6. Step 6: Final answer
    x = 19,043.88

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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.