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Finding the Fourth Proportional to 16,938.64, 25,424.36 and 8,179.72

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Solution

The fourth proportional to 16,938.64, 25,424.36 and 8,179.72 is: 12,277.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,938.64 : 25,424.36 = 8,179.72 : x
  2. Step 2: Convert to fraction form
    16,938.64/25,424.36 = 8,179.72/x
  3. Step 3: Cross multiply
    16,938.64x = 25,424.36 × 8,179.72
  4. Step 4: Simplify right side
    16,938.64x = 207,964,145.98
  5. Step 5: Solve for x
    x = 207,964,145.98/16,938.64
  6. Step 6: Final answer
    x = 12,277.50

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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.