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Finding the Fourth Proportional to 17,816.56, 24,586.49 and 9,858.78

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Solution

The fourth proportional to 17,816.56, 24,586.49 and 9,858.78 is: 13,604.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,816.56 : 24,586.49 = 9,858.78 : x
  2. Step 2: Convert to fraction form
    17,816.56/24,586.49 = 9,858.78/x
  3. Step 3: Cross multiply
    17,816.56x = 24,586.49 × 9,858.78
  4. Step 4: Simplify right side
    17,816.56x = 242,392,765.07
  5. Step 5: Solve for x
    x = 242,392,765.07/17,816.56
  6. Step 6: Final answer
    x = 13,604.92

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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.