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Finding the Fourth Proportional to 20,569.34, 30,843.38 and 10,039.85

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Solution

The fourth proportional to 20,569.34, 30,843.38 and 10,039.85 is: 15,054.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,569.34 : 30,843.38 = 10,039.85 : x
  2. Step 2: Convert to fraction form
    20,569.34/30,843.38 = 10,039.85/x
  3. Step 3: Cross multiply
    20,569.34x = 30,843.38 × 10,039.85
  4. Step 4: Simplify right side
    20,569.34x = 309,662,895.24
  5. Step 5: Solve for x
    x = 309,662,895.24/20,569.34
  6. Step 6: Final answer
    x = 15,054.58

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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.