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Finding the Fourth Proportional to 16,800.56, 25,186.28 and 12,412

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Solution

The fourth proportional to 16,800.56, 25,186.28 and 12,412 is: 18,607.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,800.56 : 25,186.28 = 12,412 : x
  2. Step 2: Convert to fraction form
    16,800.56/25,186.28 = 12,412/x
  3. Step 3: Cross multiply
    16,800.56x = 25,186.28 × 12,412
  4. Step 4: Simplify right side
    16,800.56x = 312,612,107.36
  5. Step 5: Solve for x
    x = 312,612,107.36/16,800.56
  6. Step 6: Final answer
    x = 18,607.24

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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.