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Finding the Fourth Proportional to 20,540.64, 28,346 and 11,109.12

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Solution

The fourth proportional to 20,540.64, 28,346 and 11,109.12 is: 15,330.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,540.64 : 28,346 = 11,109.12 : x
  2. Step 2: Convert to fraction form
    20,540.64/28,346 = 11,109.12/x
  3. Step 3: Cross multiply
    20,540.64x = 28,346 × 11,109.12
  4. Step 4: Simplify right side
    20,540.64x = 314,899,115.52
  5. Step 5: Solve for x
    x = 314,899,115.52/20,540.64
  6. Step 6: Final answer
    x = 15,330.54

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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.