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Finding the Fourth Proportional to 20,113.53, 30,144.77 and 9,019.77

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Solution

The fourth proportional to 20,113.53, 30,144.77 and 9,019.77 is: 13,518.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,113.53 : 30,144.77 = 9,019.77 : x
  2. Step 2: Convert to fraction form
    20,113.53/30,144.77 = 9,019.77/x
  3. Step 3: Cross multiply
    20,113.53x = 30,144.77 × 9,019.77
  4. Step 4: Simplify right side
    20,113.53x = 271,898,892.10
  5. Step 5: Solve for x
    x = 271,898,892.10/20,113.53
  6. Step 6: Final answer
    x = 13,518.21

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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.