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Finding the Fourth Proportional to 20,402.50, 28,155.09 and 11,449.30

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Solution

The fourth proportional to 20,402.50, 28,155.09 and 11,449.30 is: 15,799.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,402.50 : 28,155.09 = 11,449.30 : x
  2. Step 2: Convert to fraction form
    20,402.50/28,155.09 = 11,449.30/x
  3. Step 3: Cross multiply
    20,402.50x = 28,155.09 × 11,449.30
  4. Step 4: Simplify right side
    20,402.50x = 322,356,071.94
  5. Step 5: Solve for x
    x = 322,356,071.94/20,402.50
  6. Step 6: Final answer
    x = 15,799.83

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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.