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Finding the Fourth Proportional to 14,511.71, 21,769.50 and 5,744.57

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Solution

The fourth proportional to 14,511.71, 21,769.50 and 5,744.57 is: 8,617.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,511.71 : 21,769.50 = 5,744.57 : x
  2. Step 2: Convert to fraction form
    14,511.71/21,769.50 = 5,744.57/x
  3. Step 3: Cross multiply
    14,511.71x = 21,769.50 × 5,744.57
  4. Step 4: Simplify right side
    14,511.71x = 125,056,411.37
  5. Step 5: Solve for x
    x = 125,056,411.37/14,511.71
  6. Step 6: Final answer
    x = 8,617.62

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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.