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Finding the Fourth Proportional to 14,525.78, 20,046.02 and 10,284.44

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Solution

The fourth proportional to 14,525.78, 20,046.02 and 10,284.44 is: 14,192.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,525.78 : 20,046.02 = 10,284.44 : x
  2. Step 2: Convert to fraction form
    14,525.78/20,046.02 = 10,284.44/x
  3. Step 3: Cross multiply
    14,525.78x = 20,046.02 × 10,284.44
  4. Step 4: Simplify right side
    14,525.78x = 206,161,938.28
  5. Step 5: Solve for x
    x = 206,161,938.28/14,525.78
  6. Step 6: Final answer
    x = 14,192.84

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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.