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Finding the Fourth Proportional to 16,781.70, 25,150.95 and 12,866.70

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Solution

The fourth proportional to 16,781.70, 25,150.95 and 12,866.70 is: 19,283.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,781.70 : 25,150.95 = 12,866.70 : x
  2. Step 2: Convert to fraction form
    16,781.70/25,150.95 = 12,866.70/x
  3. Step 3: Cross multiply
    16,781.70x = 25,150.95 × 12,866.70
  4. Step 4: Simplify right side
    16,781.70x = 323,609,728.37
  5. Step 5: Solve for x
    x = 323,609,728.37/16,781.70
  6. Step 6: Final answer
    x = 19,283.49

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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.