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Finding the Fourth Proportional to 14,550.94, 20,075.34 and 8,884.18

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Solution

The fourth proportional to 14,550.94, 20,075.34 and 8,884.18 is: 12,257.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,550.94 : 20,075.34 = 8,884.18 : x
  2. Step 2: Convert to fraction form
    14,550.94/20,075.34 = 8,884.18/x
  3. Step 3: Cross multiply
    14,550.94x = 20,075.34 × 8,884.18
  4. Step 4: Simplify right side
    14,550.94x = 178,352,934.12
  5. Step 5: Solve for x
    x = 178,352,934.12/14,550.94
  6. Step 6: Final answer
    x = 12,257.14

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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.