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Finding the Fourth Proportional to 20,305, 28,024.14 and 11,919.88

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Solution

The fourth proportional to 20,305, 28,024.14 and 11,919.88 is: 16,451.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,305 : 28,024.14 = 11,919.88 : x
  2. Step 2: Convert to fraction form
    20,305/28,024.14 = 11,919.88/x
  3. Step 3: Cross multiply
    20,305x = 28,024.14 × 11,919.88
  4. Step 4: Simplify right side
    20,305x = 334,044,385.90
  5. Step 5: Solve for x
    x = 334,044,385.90/20,305
  6. Step 6: Final answer
    x = 16,451.34

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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.