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Finding the Fourth Proportional to 20,578.70, 28,398.80 and 11,147.46

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Solution

The fourth proportional to 20,578.70, 28,398.80 and 11,147.46 is: 15,383.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,578.70 : 28,398.80 = 11,147.46 : x
  2. Step 2: Convert to fraction form
    20,578.70/28,398.80 = 11,147.46/x
  3. Step 3: Cross multiply
    20,578.70x = 28,398.80 × 11,147.46
  4. Step 4: Simplify right side
    20,578.70x = 316,574,431.31
  5. Step 5: Solve for x
    x = 316,574,431.31/20,578.70
  6. Step 6: Final answer
    x = 15,383.60

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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.