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Finding the Fourth Proportional to 24,391.86, 33,662.78 and 13,783.51

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Solution

The fourth proportional to 24,391.86, 33,662.78 and 13,783.51 is: 19,022.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,391.86 : 33,662.78 = 13,783.51 : x
  2. Step 2: Convert to fraction form
    24,391.86/33,662.78 = 13,783.51/x
  3. Step 3: Cross multiply
    24,391.86x = 33,662.78 × 13,783.51
  4. Step 4: Simplify right side
    24,391.86x = 463,991,264.76
  5. Step 5: Solve for x
    x = 463,991,264.76/24,391.86
  6. Step 6: Final answer
    x = 19,022.38

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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.