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Finding the Fourth Proportional to 16,798.73, 23,181.76 and 9,141.77

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Solution

The fourth proportional to 16,798.73, 23,181.76 and 9,141.77 is: 12,615.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,798.73 : 23,181.76 = 9,141.77 : x
  2. Step 2: Convert to fraction form
    16,798.73/23,181.76 = 9,141.77/x
  3. Step 3: Cross multiply
    16,798.73x = 23,181.76 × 9,141.77
  4. Step 4: Simplify right side
    16,798.73x = 211,922,318.12
  5. Step 5: Solve for x
    x = 211,922,318.12/16,798.73
  6. Step 6: Final answer
    x = 12,615.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.