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Finding the Fourth Proportional to 16,279.16, 22,465.65 and 9,108.84

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Solution

The fourth proportional to 16,279.16, 22,465.65 and 9,108.84 is: 12,570.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,279.16 : 22,465.65 = 9,108.84 : x
  2. Step 2: Convert to fraction form
    16,279.16/22,465.65 = 9,108.84/x
  3. Step 3: Cross multiply
    16,279.16x = 22,465.65 × 9,108.84
  4. Step 4: Simplify right side
    16,279.16x = 204,636,003.38
  5. Step 5: Solve for x
    x = 204,636,003.38/16,279.16
  6. Step 6: Final answer
    x = 12,570.43

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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.