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Finding the Fourth Proportional to 16,940, 23,376.46 and 9,386.32

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Solution

The fourth proportional to 16,940, 23,376.46 and 9,386.32 is: 12,952.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,940 : 23,376.46 = 9,386.32 : x
  2. Step 2: Convert to fraction form
    16,940/23,376.46 = 9,386.32/x
  3. Step 3: Cross multiply
    16,940x = 23,376.46 × 9,386.32
  4. Step 4: Simplify right side
    16,940x = 219,418,934.03
  5. Step 5: Solve for x
    x = 219,418,934.03/16,940
  6. Step 6: Final answer
    x = 12,952.71

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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.