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Finding the Fourth Proportional to 20,153.78, 30,233.31 and 7,007.14

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Solution

The fourth proportional to 20,153.78, 30,233.31 and 7,007.14 is: 10,511.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,153.78 : 30,233.31 = 7,007.14 : x
  2. Step 2: Convert to fraction form
    20,153.78/30,233.31 = 7,007.14/x
  3. Step 3: Cross multiply
    20,153.78x = 30,233.31 × 7,007.14
  4. Step 4: Simplify right side
    20,153.78x = 211,849,035.83
  5. Step 5: Solve for x
    x = 211,849,035.83/20,153.78
  6. Step 6: Final answer
    x = 10,511.63

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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.