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Finding the Fourth Proportional to 27,405.85, 37,820.84 and 15,472.39

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Solution

The fourth proportional to 27,405.85, 37,820.84 and 15,472.39 is: 21,352.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,405.85 : 37,820.84 = 15,472.39 : x
  2. Step 2: Convert to fraction form
    27,405.85/37,820.84 = 15,472.39/x
  3. Step 3: Cross multiply
    27,405.85x = 37,820.84 × 15,472.39
  4. Step 4: Simplify right side
    27,405.85x = 585,178,786.61
  5. Step 5: Solve for x
    x = 585,178,786.61/27,405.85
  6. Step 6: Final answer
    x = 21,352.33

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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.