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Finding the Fourth Proportional to 20,329.33, 30,476.46 and 7,858.10

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Solution

The fourth proportional to 20,329.33, 30,476.46 and 7,858.10 is: 11,780.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,329.33 : 30,476.46 = 7,858.10 : x
  2. Step 2: Convert to fraction form
    20,329.33/30,476.46 = 7,858.10/x
  3. Step 3: Cross multiply
    20,329.33x = 30,476.46 × 7,858.10
  4. Step 4: Simplify right side
    20,329.33x = 239,487,070.33
  5. Step 5: Solve for x
    x = 239,487,070.33/20,329.33
  6. Step 6: Final answer
    x = 11,780.37

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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.