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Finding the Fourth Proportional to 17,075.44, 25,598 and 9,182.18

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Solution

The fourth proportional to 17,075.44, 25,598 and 9,182.18 is: 13,765.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,075.44 : 25,598 = 9,182.18 : x
  2. Step 2: Convert to fraction form
    17,075.44/25,598 = 9,182.18/x
  3. Step 3: Cross multiply
    17,075.44x = 25,598 × 9,182.18
  4. Step 4: Simplify right side
    17,075.44x = 235,045,443.64
  5. Step 5: Solve for x
    x = 235,045,443.64/17,075.44
  6. Step 6: Final answer
    x = 13,765.12

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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.