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Finding the Fourth Proportional to 17,971.92, 24,802.44 and 10,015.44

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Solution

The fourth proportional to 17,971.92, 24,802.44 and 10,015.44 is: 13,821.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,971.92 : 24,802.44 = 10,015.44 : x
  2. Step 2: Convert to fraction form
    17,971.92/24,802.44 = 10,015.44/x
  3. Step 3: Cross multiply
    17,971.92x = 24,802.44 × 10,015.44
  4. Step 4: Simplify right side
    17,971.92x = 248,407,349.67
  5. Step 5: Solve for x
    x = 248,407,349.67/17,971.92
  6. Step 6: Final answer
    x = 13,821.97

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1.5x scale

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.