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Finding the Fourth Proportional to 27,674.76, 38,199.30 and 15,744.76

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Solution

The fourth proportional to 27,674.76, 38,199.30 and 15,744.76 is: 21,732.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,674.76 : 38,199.30 = 15,744.76 : x
  2. Step 2: Convert to fraction form
    27,674.76/38,199.30 = 15,744.76/x
  3. Step 3: Cross multiply
    27,674.76x = 38,199.30 × 15,744.76
  4. Step 4: Simplify right side
    27,674.76x = 601,438,810.67
  5. Step 5: Solve for x
    x = 601,438,810.67/27,674.76
  6. Step 6: Final answer
    x = 21,732.39

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1.5x scale

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.