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Finding the Fourth Proportional to 17,424.33, 24,045.62 and 9,466.38

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Solution

The fourth proportional to 17,424.33, 24,045.62 and 9,466.38 is: 13,063.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,424.33 : 24,045.62 = 9,466.38 : x
  2. Step 2: Convert to fraction form
    17,424.33/24,045.62 = 9,466.38/x
  3. Step 3: Cross multiply
    17,424.33x = 24,045.62 × 9,466.38
  4. Step 4: Simplify right side
    17,424.33x = 227,624,928.92
  5. Step 5: Solve for x
    x = 227,624,928.92/17,424.33
  6. Step 6: Final answer
    x = 13,063.63

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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.