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Finding the Fourth Proportional to 20,436.42, 30,639.09 and 10,569.41

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Solution

The fourth proportional to 20,436.42, 30,639.09 and 10,569.41 is: 15,846.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,436.42 : 30,639.09 = 10,569.41 : x
  2. Step 2: Convert to fraction form
    20,436.42/30,639.09 = 10,569.41/x
  3. Step 3: Cross multiply
    20,436.42x = 30,639.09 × 10,569.41
  4. Step 4: Simplify right side
    20,436.42x = 323,837,104.24
  5. Step 5: Solve for x
    x = 323,837,104.24/20,436.42
  6. Step 6: Final answer
    x = 15,846.08

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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.