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Finding the Fourth Proportional to 20,805.50, 28,711.60 and 11,374.14

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Solution

The fourth proportional to 20,805.50, 28,711.60 and 11,374.14 is: 15,696.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,805.50 : 28,711.60 = 11,374.14 : x
  2. Step 2: Convert to fraction form
    20,805.50/28,711.60 = 11,374.14/x
  3. Step 3: Cross multiply
    20,805.50x = 28,711.60 × 11,374.14
  4. Step 4: Simplify right side
    20,805.50x = 326,569,758.02
  5. Step 5: Solve for x
    x = 326,569,758.02/20,805.50
  6. Step 6: Final answer
    x = 15,696.32

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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.