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Finding the Fourth Proportional to 20,076.76, 30,095.08 and 13,418.86

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Solution

The fourth proportional to 20,076.76, 30,095.08 and 13,418.86 is: 20,114.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,076.76 : 30,095.08 = 13,418.86 : x
  2. Step 2: Convert to fraction form
    20,076.76/30,095.08 = 13,418.86/x
  3. Step 3: Cross multiply
    20,076.76x = 30,095.08 × 13,418.86
  4. Step 4: Simplify right side
    20,076.76x = 403,841,665.21
  5. Step 5: Solve for x
    x = 403,841,665.21/20,076.76
  6. Step 6: Final answer
    x = 20,114.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.