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Finding the Fourth Proportional to 27,154.38, 37,470 and 15,216

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Solution

The fourth proportional to 27,154.38, 37,470 and 15,216 is: 20,996.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,154.38 : 37,470 = 15,216 : x
  2. Step 2: Convert to fraction form
    27,154.38/37,470 = 15,216/x
  3. Step 3: Cross multiply
    27,154.38x = 37,470 × 15,216
  4. Step 4: Simplify right side
    27,154.38x = 570,143,520
  5. Step 5: Solve for x
    x = 570,143,520/27,154.38
  6. Step 6: Final answer
    x = 20,996.37

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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.