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Finding the Fourth Proportional to 24,595, 33,941.10 and 13,417

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Solution

The fourth proportional to 24,595, 33,941.10 and 13,417 is: 18,515.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,595 : 33,941.10 = 13,417 : x
  2. Step 2: Convert to fraction form
    24,595/33,941.10 = 13,417/x
  3. Step 3: Cross multiply
    24,595x = 33,941.10 × 13,417
  4. Step 4: Simplify right side
    24,595x = 455,387,738.70
  5. Step 5: Solve for x
    x = 455,387,738.70/24,595
  6. Step 6: Final answer
    x = 18,515.46

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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.