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Finding the Fourth Proportional to 20,735.50, 28,615 and 11,304.14

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Solution

The fourth proportional to 20,735.50, 28,615 and 11,304.14 is: 15,599.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,735.50 : 28,615 = 11,304.14 : x
  2. Step 2: Convert to fraction form
    20,735.50/28,615 = 11,304.14/x
  3. Step 3: Cross multiply
    20,735.50x = 28,615 × 11,304.14
  4. Step 4: Simplify right side
    20,735.50x = 323,467,966.10
  5. Step 5: Solve for x
    x = 323,467,966.10/20,735.50
  6. Step 6: Final answer
    x = 15,599.72

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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.