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Finding the Fourth Proportional to 16,949.38, 23,390.08 and 9,497.38

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Solution

The fourth proportional to 16,949.38, 23,390.08 and 9,497.38 is: 13,106.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,949.38 : 23,390.08 = 9,497.38 : x
  2. Step 2: Convert to fraction form
    16,949.38/23,390.08 = 9,497.38/x
  3. Step 3: Cross multiply
    16,949.38x = 23,390.08 × 9,497.38
  4. Step 4: Simplify right side
    16,949.38x = 222,144,477.99
  5. Step 5: Solve for x
    x = 222,144,477.99/16,949.38
  6. Step 6: Final answer
    x = 13,106.35

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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.