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Finding the Fourth Proportional to 16,946.95, 23,384.87 and 9,391.38

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Solution

The fourth proportional to 16,946.95, 23,384.87 and 9,391.38 is: 12,959.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,946.95 : 23,384.87 = 9,391.38 : x
  2. Step 2: Convert to fraction form
    16,946.95/23,384.87 = 9,391.38/x
  3. Step 3: Cross multiply
    16,946.95x = 23,384.87 × 9,391.38
  4. Step 4: Simplify right side
    16,946.95x = 219,616,036.54
  5. Step 5: Solve for x
    x = 219,616,036.54/16,946.95
  6. Step 6: Final answer
    x = 12,959.03

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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.