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Finding the Fourth Proportional to 15,151.38, 20,904.12 and 11,954.58

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Solution

The fourth proportional to 15,151.38, 20,904.12 and 11,954.58 is: 16,493.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,151.38 : 20,904.12 = 11,954.58 : x
  2. Step 2: Convert to fraction form
    15,151.38/20,904.12 = 11,954.58/x
  3. Step 3: Cross multiply
    15,151.38x = 20,904.12 × 11,954.58
  4. Step 4: Simplify right side
    15,151.38x = 249,899,974.87
  5. Step 5: Solve for x
    x = 249,899,974.87/15,151.38
  6. Step 6: Final answer
    x = 16,493.55

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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.