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Finding the Fourth Proportional to 20,489.60, 28,274.88 and 11,537.44

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Solution

The fourth proportional to 20,489.60, 28,274.88 and 11,537.44 is: 15,921.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,489.60 : 28,274.88 = 11,537.44 : x
  2. Step 2: Convert to fraction form
    20,489.60/28,274.88 = 11,537.44/x
  3. Step 3: Cross multiply
    20,489.60x = 28,274.88 × 11,537.44
  4. Step 4: Simplify right side
    20,489.60x = 326,219,731.51
  5. Step 5: Solve for x
    x = 326,219,731.51/20,489.60
  6. Step 6: Final answer
    x = 15,921.23

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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.