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Finding the Fourth Proportional to 11,454.84, 17,087.17 and 11,070.92

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Solution

The fourth proportional to 11,454.84, 17,087.17 and 11,070.92 is: 16,514.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,454.84 : 17,087.17 = 11,070.92 : x
  2. Step 2: Convert to fraction form
    11,454.84/17,087.17 = 11,070.92/x
  3. Step 3: Cross multiply
    11,454.84x = 17,087.17 × 11,070.92
  4. Step 4: Simplify right side
    11,454.84x = 189,170,692.10
  5. Step 5: Solve for x
    x = 189,170,692.10/11,454.84
  6. Step 6: Final answer
    x = 16,514.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.