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Finding the Fourth Proportional to 20,715.41, 28,578.74 and 14,431.43

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Solution

The fourth proportional to 20,715.41, 28,578.74 and 14,431.43 is: 19,909.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,715.41 : 28,578.74 = 14,431.43 : x
  2. Step 2: Convert to fraction form
    20,715.41/28,578.74 = 14,431.43/x
  3. Step 3: Cross multiply
    20,715.41x = 28,578.74 × 14,431.43
  4. Step 4: Simplify right side
    20,715.41x = 412,431,870.75
  5. Step 5: Solve for x
    x = 412,431,870.75/20,715.41
  6. Step 6: Final answer
    x = 19,909.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.