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Finding the Fourth Proportional to 20,153.75, 30,230.65 and 7,006.14

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Solution

The fourth proportional to 20,153.75, 30,230.65 and 7,006.14 is: 10,509.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,153.75 : 30,230.65 = 7,006.14 : x
  2. Step 2: Convert to fraction form
    20,153.75/30,230.65 = 7,006.14/x
  3. Step 3: Cross multiply
    20,153.75x = 30,230.65 × 7,006.14
  4. Step 4: Simplify right side
    20,153.75x = 211,800,166.19
  5. Step 5: Solve for x
    x = 211,800,166.19/20,153.75
  6. Step 6: Final answer
    x = 10,509.22

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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.