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Finding the Fourth Proportional to 17,431.91, 24,056.19 and 9,474.14

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Solution

The fourth proportional to 17,431.91, 24,056.19 and 9,474.14 is: 13,074.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,431.91 : 24,056.19 = 9,474.14 : x
  2. Step 2: Convert to fraction form
    17,431.91/24,056.19 = 9,474.14/x
  3. Step 3: Cross multiply
    17,431.91x = 24,056.19 × 9,474.14
  4. Step 4: Simplify right side
    17,431.91x = 227,911,591.65
  5. Step 5: Solve for x
    x = 227,911,591.65/17,431.91
  6. Step 6: Final answer
    x = 13,074.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.