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Finding the Fourth Proportional to 20,920.82, 28,862.38 and 13,365.19

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Solution

The fourth proportional to 20,920.82, 28,862.38 and 13,365.19 is: 18,438.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,920.82 : 28,862.38 = 13,365.19 : x
  2. Step 2: Convert to fraction form
    20,920.82/28,862.38 = 13,365.19/x
  3. Step 3: Cross multiply
    20,920.82x = 28,862.38 × 13,365.19
  4. Step 4: Simplify right side
    20,920.82x = 385,750,981.41
  5. Step 5: Solve for x
    x = 385,750,981.41/20,920.82
  6. Step 6: Final answer
    x = 18,438.62

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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.