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Finding the Fourth Proportional to 16,709.88, 23,059.32 and 9,156

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Solution

The fourth proportional to 16,709.88, 23,059.32 and 9,156 is: 12,635.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,709.88 : 23,059.32 = 9,156 : x
  2. Step 2: Convert to fraction form
    16,709.88/23,059.32 = 9,156/x
  3. Step 3: Cross multiply
    16,709.88x = 23,059.32 × 9,156
  4. Step 4: Simplify right side
    16,709.88x = 211,131,133.92
  5. Step 5: Solve for x
    x = 211,131,133.92/16,709.88
  6. Step 6: Final answer
    x = 12,635.11

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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.