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Finding the Fourth Proportional to 16,957.54, 25,437.12 and 8,199.82

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Solution

The fourth proportional to 16,957.54, 25,437.12 and 8,199.82 is: 12,300.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,957.54 : 25,437.12 = 8,199.82 : x
  2. Step 2: Convert to fraction form
    16,957.54/25,437.12 = 8,199.82/x
  3. Step 3: Cross multiply
    16,957.54x = 25,437.12 × 8,199.82
  4. Step 4: Simplify right side
    16,957.54x = 208,579,805.32
  5. Step 5: Solve for x
    x = 208,579,805.32/16,957.54
  6. Step 6: Final answer
    x = 12,300.12

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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.