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Finding the Fourth Proportional to 17,824.57, 24,596.85 and 9,866.32

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Solution

The fourth proportional to 17,824.57, 24,596.85 and 9,866.32 is: 13,614.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,824.57 : 24,596.85 = 9,866.32 : x
  2. Step 2: Convert to fraction form
    17,824.57/24,596.85 = 9,866.32/x
  3. Step 3: Cross multiply
    17,824.57x = 24,596.85 × 9,866.32
  4. Step 4: Simplify right side
    17,824.57x = 242,680,393.09
  5. Step 5: Solve for x
    x = 242,680,393.09/17,824.57
  6. Step 6: Final answer
    x = 13,614.94

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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.