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Finding the Fourth Proportional to 12,741.53, 17,582.49 and 7,075.82

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Solution

The fourth proportional to 12,741.53, 17,582.49 and 7,075.82 is: 9,764.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,741.53 : 17,582.49 = 7,075.82 : x
  2. Step 2: Convert to fraction form
    12,741.53/17,582.49 = 7,075.82/x
  3. Step 3: Cross multiply
    12,741.53x = 17,582.49 × 7,075.82
  4. Step 4: Simplify right side
    12,741.53x = 124,410,578.35
  5. Step 5: Solve for x
    x = 124,410,578.35/12,741.53
  6. Step 6: Final answer
    x = 9,764.18

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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.