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Finding the Fourth Proportional to 17,421.76, 24,042 and 9,464.14

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Solution

The fourth proportional to 17,421.76, 24,042 and 9,464.14 is: 13,060.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,421.76 : 24,042 = 9,464.14 : x
  2. Step 2: Convert to fraction form
    17,421.76/24,042 = 9,464.14/x
  3. Step 3: Cross multiply
    17,421.76x = 24,042 × 9,464.14
  4. Step 4: Simplify right side
    17,421.76x = 227,536,853.88
  5. Step 5: Solve for x
    x = 227,536,853.88/17,421.76
  6. Step 6: Final answer
    x = 13,060.50

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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.