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Finding the Fourth Proportional to 27,178.74, 37,506.21 and 15,854.82

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Solution

The fourth proportional to 27,178.74, 37,506.21 and 15,854.82 is: 21,879.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,178.74 : 37,506.21 = 15,854.82 : x
  2. Step 2: Convert to fraction form
    27,178.74/37,506.21 = 15,854.82/x
  3. Step 3: Cross multiply
    27,178.74x = 37,506.21 × 15,854.82
  4. Step 4: Simplify right side
    27,178.74x = 594,654,208.43
  5. Step 5: Solve for x
    x = 594,654,208.43/27,178.74
  6. Step 6: Final answer
    x = 21,879.39

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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.