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Finding the Fourth Proportional to 20,010.78, 30,024.41 and 10,153.08

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Solution

The fourth proportional to 20,010.78, 30,024.41 and 10,153.08 is: 15,233.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,010.78 : 30,024.41 = 10,153.08 : x
  2. Step 2: Convert to fraction form
    20,010.78/30,024.41 = 10,153.08/x
  3. Step 3: Cross multiply
    20,010.78x = 30,024.41 × 10,153.08
  4. Step 4: Simplify right side
    20,010.78x = 304,840,185.92
  5. Step 5: Solve for x
    x = 304,840,185.92/20,010.78
  6. Step 6: Final answer
    x = 15,233.80

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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.