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Finding the Fourth Proportional to 27,011, 40,514.46 and 9,482

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Solution

The fourth proportional to 27,011, 40,514.46 and 9,482 is: 14,222.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,011 : 40,514.46 = 9,482 : x
  2. Step 2: Convert to fraction form
    27,011/40,514.46 = 9,482/x
  3. Step 3: Cross multiply
    27,011x = 40,514.46 × 9,482
  4. Step 4: Simplify right side
    27,011x = 384,158,109.72
  5. Step 5: Solve for x
    x = 384,158,109.72/27,011
  6. Step 6: Final answer
    x = 14,222.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.