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Finding the Fourth Proportional to 17,782.20, 24,536.52 and 11,075.40

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Solution

The fourth proportional to 17,782.20, 24,536.52 and 11,075.40 is: 15,282.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,782.20 : 24,536.52 = 11,075.40 : x
  2. Step 2: Convert to fraction form
    17,782.20/24,536.52 = 11,075.40/x
  3. Step 3: Cross multiply
    17,782.20x = 24,536.52 × 11,075.40
  4. Step 4: Simplify right side
    17,782.20x = 271,751,773.61
  5. Step 5: Solve for x
    x = 271,751,773.61/17,782.20
  6. Step 6: Final answer
    x = 15,282.24

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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.