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Finding the Fourth Proportional to 17,421.84, 24,042.34 and 9,464.18

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Solution

The fourth proportional to 17,421.84, 24,042.34 and 9,464.18 is: 13,060.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,421.84 : 24,042.34 = 9,464.18 : x
  2. Step 2: Convert to fraction form
    17,421.84/24,042.34 = 9,464.18/x
  3. Step 3: Cross multiply
    17,421.84x = 24,042.34 × 9,464.18
  4. Step 4: Simplify right side
    17,421.84x = 227,541,033.38
  5. Step 5: Solve for x
    x = 227,541,033.38/17,421.84
  6. Step 6: Final answer
    x = 13,060.68

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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.