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Finding the Fourth Proportional to 20,173.10, 30,238.05 and 9,077.90

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Solution

The fourth proportional to 20,173.10, 30,238.05 and 9,077.90 is: 13,607.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,173.10 : 30,238.05 = 9,077.90 : x
  2. Step 2: Convert to fraction form
    20,173.10/30,238.05 = 9,077.90/x
  3. Step 3: Cross multiply
    20,173.10x = 30,238.05 × 9,077.90
  4. Step 4: Simplify right side
    20,173.10x = 274,497,994.10
  5. Step 5: Solve for x
    x = 274,497,994.10/20,173.10
  6. Step 6: Final answer
    x = 13,607.13

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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.