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Finding the Fourth Proportional to 27,347.76, 37,744.38 and 15,414.30

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Solution

The fourth proportional to 27,347.76, 37,744.38 and 15,414.30 is: 21,274.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,347.76 : 37,744.38 = 15,414.30 : x
  2. Step 2: Convert to fraction form
    27,347.76/37,744.38 = 15,414.30/x
  3. Step 3: Cross multiply
    27,347.76x = 37,744.38 × 15,414.30
  4. Step 4: Simplify right side
    27,347.76x = 581,803,196.63
  5. Step 5: Solve for x
    x = 581,803,196.63/27,347.76
  6. Step 6: Final answer
    x = 21,274.25

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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.