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Finding the Fourth Proportional to 17,816.64, 24,585.92 and 9,858.56

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Solution

The fourth proportional to 17,816.64, 24,585.92 and 9,858.56 is: 13,604.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,816.64 : 24,585.92 = 9,858.56 : x
  2. Step 2: Convert to fraction form
    17,816.64/24,585.92 = 9,858.56/x
  3. Step 3: Cross multiply
    17,816.64x = 24,585.92 × 9,858.56
  4. Step 4: Simplify right side
    17,816.64x = 242,381,767.48
  5. Step 5: Solve for x
    x = 242,381,767.48/17,816.64
  6. Step 6: Final answer
    x = 13,604.24

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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.