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Finding the Fourth Proportional to 24,827.29, 37,229.21 and 9,021.30

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Solution

The fourth proportional to 24,827.29, 37,229.21 and 9,021.30 is: 13,527.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,827.29 : 37,229.21 = 9,021.30 : x
  2. Step 2: Convert to fraction form
    24,827.29/37,229.21 = 9,021.30/x
  3. Step 3: Cross multiply
    24,827.29x = 37,229.21 × 9,021.30
  4. Step 4: Simplify right side
    24,827.29x = 335,855,920.14
  5. Step 5: Solve for x
    x = 335,855,920.14/24,827.29
  6. Step 6: Final answer
    x = 13,527.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.