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Finding the Fourth Proportional to 14,851, 20,494.38 and 8,882.92

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Solution

The fourth proportional to 14,851, 20,494.38 and 8,882.92 is: 12,258.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,851 : 20,494.38 = 8,882.92 : x
  2. Step 2: Convert to fraction form
    14,851/20,494.38 = 8,882.92/x
  3. Step 3: Cross multiply
    14,851x = 20,494.38 × 8,882.92
  4. Step 4: Simplify right side
    14,851x = 182,049,937.99
  5. Step 5: Solve for x
    x = 182,049,937.99/14,851
  6. Step 6: Final answer
    x = 12,258.43

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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.