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Finding the Fourth Proportional to 16,054.68, 22,156.92 and 8,983.38

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Solution

The fourth proportional to 16,054.68, 22,156.92 and 8,983.38 is: 12,397.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,054.68 : 22,156.92 = 8,983.38 : x
  2. Step 2: Convert to fraction form
    16,054.68/22,156.92 = 8,983.38/x
  3. Step 3: Cross multiply
    16,054.68x = 22,156.92 × 8,983.38
  4. Step 4: Simplify right side
    16,054.68x = 199,044,031.99
  5. Step 5: Solve for x
    x = 199,044,031.99/16,054.68
  6. Step 6: Final answer
    x = 12,397.88

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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.