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Finding the Fourth Proportional to 27,523.71, 37,982.51 and 14,948.46

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Solution

The fourth proportional to 27,523.71, 37,982.51 and 14,948.46 is: 20,628.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,523.71 : 37,982.51 = 14,948.46 : x
  2. Step 2: Convert to fraction form
    27,523.71/37,982.51 = 14,948.46/x
  3. Step 3: Cross multiply
    27,523.71x = 37,982.51 × 14,948.46
  4. Step 4: Simplify right side
    27,523.71x = 567,780,031.43
  5. Step 5: Solve for x
    x = 567,780,031.43/27,523.71
  6. Step 6: Final answer
    x = 20,628.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.