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Finding the Fourth Proportional to 27,191.62, 37,525.98 and 15,256

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Solution

The fourth proportional to 27,191.62, 37,525.98 and 15,256 is: 21,054.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,191.62 : 37,525.98 = 15,256 : x
  2. Step 2: Convert to fraction form
    27,191.62/37,525.98 = 15,256/x
  3. Step 3: Cross multiply
    27,191.62x = 37,525.98 × 15,256
  4. Step 4: Simplify right side
    27,191.62x = 572,496,350.88
  5. Step 5: Solve for x
    x = 572,496,350.88/27,191.62
  6. Step 6: Final answer
    x = 21,054.15

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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.