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Finding the Fourth Proportional to 16,394, 22,623.99 and 8,942

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Solution

The fourth proportional to 16,394, 22,623.99 and 8,942 is: 12,340.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,394 : 22,623.99 = 8,942 : x
  2. Step 2: Convert to fraction form
    16,394/22,623.99 = 8,942/x
  3. Step 3: Cross multiply
    16,394x = 22,623.99 × 8,942
  4. Step 4: Simplify right side
    16,394x = 202,303,718.58
  5. Step 5: Solve for x
    x = 202,303,718.58/16,394
  6. Step 6: Final answer
    x = 12,340.11

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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.