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Finding the Fourth Proportional to 24,593, 33,939.48 and 13,415

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Solution

The fourth proportional to 24,593, 33,939.48 and 13,415 is: 18,513.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,593 : 33,939.48 = 13,415 : x
  2. Step 2: Convert to fraction form
    24,593/33,939.48 = 13,415/x
  3. Step 3: Cross multiply
    24,593x = 33,939.48 × 13,415
  4. Step 4: Simplify right side
    24,593x = 455,298,124.20
  5. Step 5: Solve for x
    x = 455,298,124.20/24,593
  6. Step 6: Final answer
    x = 18,513.32

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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.