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Finding the Fourth Proportional to 13,454.53, 18,563.54 and 8,075.57

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Solution

The fourth proportional to 13,454.53, 18,563.54 and 8,075.57 is: 11,142.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,454.53 : 18,563.54 = 8,075.57 : x
  2. Step 2: Convert to fraction form
    13,454.53/18,563.54 = 8,075.57/x
  3. Step 3: Cross multiply
    13,454.53x = 18,563.54 × 8,075.57
  4. Step 4: Simplify right side
    13,454.53x = 149,911,033.52
  5. Step 5: Solve for x
    x = 149,911,033.52/13,454.53
  6. Step 6: Final answer
    x = 11,142.05

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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.