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Finding the Fourth Proportional to 16,402.14, 22,635 and 8,950.14

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Solution

The fourth proportional to 16,402.14, 22,635 and 8,950.14 is: 12,351.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,402.14 : 22,635 = 8,950.14 : x
  2. Step 2: Convert to fraction form
    16,402.14/22,635 = 8,950.14/x
  3. Step 3: Cross multiply
    16,402.14x = 22,635 × 8,950.14
  4. Step 4: Simplify right side
    16,402.14x = 202,586,418.90
  5. Step 5: Solve for x
    x = 202,586,418.90/16,402.14
  6. Step 6: Final answer
    x = 12,351.22

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1.5x scale

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.