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Finding the Fourth Proportional to 14,453.40, 19,944.18 and 9,075

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Solution

The fourth proportional to 14,453.40, 19,944.18 and 9,075 is: 12,522.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,453.40 : 19,944.18 = 9,075 : x
  2. Step 2: Convert to fraction form
    14,453.40/19,944.18 = 9,075/x
  3. Step 3: Cross multiply
    14,453.40x = 19,944.18 × 9,075
  4. Step 4: Simplify right side
    14,453.40x = 180,993,433.50
  5. Step 5: Solve for x
    x = 180,993,433.50/14,453.40
  6. Step 6: Final answer
    x = 12,522.55

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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.