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Finding the Fourth Proportional to 17,421.87, 24,042 and 9,464.07

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Solution

The fourth proportional to 17,421.87, 24,042 and 9,464.07 is: 13,060.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,421.87 : 24,042 = 9,464.07 : x
  2. Step 2: Convert to fraction form
    17,421.87/24,042 = 9,464.07/x
  3. Step 3: Cross multiply
    17,421.87x = 24,042 × 9,464.07
  4. Step 4: Simplify right side
    17,421.87x = 227,535,170.94
  5. Step 5: Solve for x
    x = 227,535,170.94/17,421.87
  6. Step 6: Final answer
    x = 13,060.32

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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.