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Finding the Fourth Proportional to 17,858.42, 24,632.88 and 11,474.96

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Solution

The fourth proportional to 17,858.42, 24,632.88 and 11,474.96 is: 15,827.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,858.42 : 24,632.88 = 11,474.96 : x
  2. Step 2: Convert to fraction form
    17,858.42/24,632.88 = 11,474.96/x
  3. Step 3: Cross multiply
    17,858.42x = 24,632.88 × 11,474.96
  4. Step 4: Simplify right side
    17,858.42x = 282,661,312.68
  5. Step 5: Solve for x
    x = 282,661,312.68/17,858.42
  6. Step 6: Final answer
    x = 15,827.90

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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.