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Finding the Fourth Proportional to 20,930.64, 28,884.54 and 11,499

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Solution

The fourth proportional to 20,930.64, 28,884.54 and 11,499 is: 15,868.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,930.64 : 28,884.54 = 11,499 : x
  2. Step 2: Convert to fraction form
    20,930.64/28,884.54 = 11,499/x
  3. Step 3: Cross multiply
    20,930.64x = 28,884.54 × 11,499
  4. Step 4: Simplify right side
    20,930.64x = 332,143,325.46
  5. Step 5: Solve for x
    x = 332,143,325.46/20,930.64
  6. Step 6: Final answer
    x = 15,868.76

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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.