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Finding the Fourth Proportional to 20,802.96, 28,707.90 and 11,371.44

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Solution

The fourth proportional to 20,802.96, 28,707.90 and 11,371.44 is: 15,692.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,802.96 : 28,707.90 = 11,371.44 : x
  2. Step 2: Convert to fraction form
    20,802.96/28,707.90 = 11,371.44/x
  3. Step 3: Cross multiply
    20,802.96x = 28,707.90 × 11,371.44
  4. Step 4: Simplify right side
    20,802.96x = 326,450,162.38
  5. Step 5: Solve for x
    x = 326,450,162.38/20,802.96
  6. Step 6: Final answer
    x = 15,692.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.