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Finding the Fourth Proportional to 14,548.50, 20,075.99 and 8,578.80

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Solution

The fourth proportional to 14,548.50, 20,075.99 and 8,578.80 is: 11,838.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,548.50 : 20,075.99 = 8,578.80 : x
  2. Step 2: Convert to fraction form
    14,548.50/20,075.99 = 8,578.80/x
  3. Step 3: Cross multiply
    14,548.50x = 20,075.99 × 8,578.80
  4. Step 4: Simplify right side
    14,548.50x = 172,227,860.12
  5. Step 5: Solve for x
    x = 172,227,860.12/14,548.50
  6. Step 6: Final answer
    x = 11,838.19

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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.