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Finding the Fourth Proportional to 20,006.71, 30,028.91 and 10,153.06

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Solution

The fourth proportional to 20,006.71, 30,028.91 and 10,153.06 is: 15,239.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,006.71 : 30,028.91 = 10,153.06 : x
  2. Step 2: Convert to fraction form
    20,006.71/30,028.91 = 10,153.06/x
  3. Step 3: Cross multiply
    20,006.71x = 30,028.91 × 10,153.06
  4. Step 4: Simplify right side
    20,006.71x = 304,885,324.96
  5. Step 5: Solve for x
    x = 304,885,324.96/20,006.71
  6. Step 6: Final answer
    x = 15,239.15

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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.