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Finding the Fourth Proportional to 20,568.33, 30,788.10 and 14,205.78

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Solution

The fourth proportional to 20,568.33, 30,788.10 and 14,205.78 is: 21,264.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,568.33 : 30,788.10 = 14,205.78 : x
  2. Step 2: Convert to fraction form
    20,568.33/30,788.10 = 14,205.78/x
  3. Step 3: Cross multiply
    20,568.33x = 30,788.10 × 14,205.78
  4. Step 4: Simplify right side
    20,568.33x = 437,368,975.22
  5. Step 5: Solve for x
    x = 437,368,975.22/20,568.33
  6. Step 6: Final answer
    x = 21,264.19

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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.