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Finding the Fourth Proportional to 17,979.48, 24,811.72 and 10,022

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Solution

The fourth proportional to 17,979.48, 24,811.72 and 10,022 is: 13,830.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,979.48 : 24,811.72 = 10,022 : x
  2. Step 2: Convert to fraction form
    17,979.48/24,811.72 = 10,022/x
  3. Step 3: Cross multiply
    17,979.48x = 24,811.72 × 10,022
  4. Step 4: Simplify right side
    17,979.48x = 248,663,057.84
  5. Step 5: Solve for x
    x = 248,663,057.84/17,979.48
  6. Step 6: Final answer
    x = 13,830.38

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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.