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Finding the Fourth Proportional to 17,980.32, 24,812.33 and 10,022.38

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Solution

The fourth proportional to 17,980.32, 24,812.33 and 10,022.38 is: 13,830.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,980.32 : 24,812.33 = 10,022.38 : x
  2. Step 2: Convert to fraction form
    17,980.32/24,812.33 = 10,022.38/x
  3. Step 3: Cross multiply
    17,980.32x = 24,812.33 × 10,022.38
  4. Step 4: Simplify right side
    17,980.32x = 248,678,469.47
  5. Step 5: Solve for x
    x = 248,678,469.47/17,980.32
  6. Step 6: Final answer
    x = 13,830.59

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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.