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Finding the Fourth Proportional to 17,431.85, 24,056.14 and 9,474.08

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Solution

The fourth proportional to 17,431.85, 24,056.14 and 9,474.08 is: 13,074.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,431.85 : 24,056.14 = 9,474.08 : x
  2. Step 2: Convert to fraction form
    17,431.85/24,056.14 = 9,474.08/x
  3. Step 3: Cross multiply
    17,431.85x = 24,056.14 × 9,474.08
  4. Step 4: Simplify right side
    17,431.85x = 227,909,668.65
  5. Step 5: Solve for x
    x = 227,909,668.65/17,431.85
  6. Step 6: Final answer
    x = 13,074.33

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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.