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Finding the Fourth Proportional to 20,944.38, 28,904.10 and 11,513

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Solution

The fourth proportional to 20,944.38, 28,904.10 and 11,513 is: 15,888.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,944.38 : 28,904.10 = 11,513 : x
  2. Step 2: Convert to fraction form
    20,944.38/28,904.10 = 11,513/x
  3. Step 3: Cross multiply
    20,944.38x = 28,904.10 × 11,513
  4. Step 4: Simplify right side
    20,944.38x = 332,772,903.30
  5. Step 5: Solve for x
    x = 332,772,903.30/20,944.38
  6. Step 6: Final answer
    x = 15,888.41

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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.