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Finding the Fourth Proportional to 17,825.87, 24,599.90 and 9,868.24

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Solution

The fourth proportional to 17,825.87, 24,599.90 and 9,868.24 is: 13,618.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,825.87 : 24,599.90 = 9,868.24 : x
  2. Step 2: Convert to fraction form
    17,825.87/24,599.90 = 9,868.24/x
  3. Step 3: Cross multiply
    17,825.87x = 24,599.90 × 9,868.24
  4. Step 4: Simplify right side
    17,825.87x = 242,757,544.84
  5. Step 5: Solve for x
    x = 242,757,544.84/17,825.87
  6. Step 6: Final answer
    x = 13,618.27

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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.