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Finding the Fourth Proportional to 27,181.44, 37,510.92 and 15,246

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Solution

The fourth proportional to 27,181.44, 37,510.92 and 15,246 is: 21,039.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,181.44 : 37,510.92 = 15,246 : x
  2. Step 2: Convert to fraction form
    27,181.44/37,510.92 = 15,246/x
  3. Step 3: Cross multiply
    27,181.44x = 37,510.92 × 15,246
  4. Step 4: Simplify right side
    27,181.44x = 571,891,486.32
  5. Step 5: Solve for x
    x = 571,891,486.32/27,181.44
  6. Step 6: Final answer
    x = 21,039.78

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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.