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Finding the Fourth Proportional to 24,075.53, 36,107.82 and 11,589.17

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Solution

The fourth proportional to 24,075.53, 36,107.82 and 11,589.17 is: 17,381.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,075.53 : 36,107.82 = 11,589.17 : x
  2. Step 2: Convert to fraction form
    24,075.53/36,107.82 = 11,589.17/x
  3. Step 3: Cross multiply
    24,075.53x = 36,107.82 × 11,589.17
  4. Step 4: Simplify right side
    24,075.53x = 418,459,754.58
  5. Step 5: Solve for x
    x = 418,459,754.58/24,075.53
  6. Step 6: Final answer
    x = 17,381.13

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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.