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Finding the Fourth Proportional to 19,072.87, 28,566 and 16,419.31

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Solution

The fourth proportional to 19,072.87, 28,566 and 16,419.31 is: 24,591.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,072.87 : 28,566 = 16,419.31 : x
  2. Step 2: Convert to fraction form
    19,072.87/28,566 = 16,419.31/x
  3. Step 3: Cross multiply
    19,072.87x = 28,566 × 16,419.31
  4. Step 4: Simplify right side
    19,072.87x = 469,034,009.46
  5. Step 5: Solve for x
    x = 469,034,009.46/19,072.87
  6. Step 6: Final answer
    x = 24,591.68

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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.