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Finding the Fourth Proportional to 14,578.80, 21,871.96 and 5,218.44

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Solution

The fourth proportional to 14,578.80, 21,871.96 and 5,218.44 is: 7,829.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,578.80 : 21,871.96 = 5,218.44 : x
  2. Step 2: Convert to fraction form
    14,578.80/21,871.96 = 5,218.44/x
  3. Step 3: Cross multiply
    14,578.80x = 21,871.96 × 5,218.44
  4. Step 4: Simplify right side
    14,578.80x = 114,137,510.94
  5. Step 5: Solve for x
    x = 114,137,510.94/14,578.80
  6. Step 6: Final answer
    x = 7,829.01

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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.