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Finding the Fourth Proportional to 24,634.08, 33,994.88 and 13,456

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Solution

The fourth proportional to 24,634.08, 33,994.88 and 13,456 is: 18,569.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,634.08 : 33,994.88 = 13,456 : x
  2. Step 2: Convert to fraction form
    24,634.08/33,994.88 = 13,456/x
  3. Step 3: Cross multiply
    24,634.08x = 33,994.88 × 13,456
  4. Step 4: Simplify right side
    24,634.08x = 457,435,105.28
  5. Step 5: Solve for x
    x = 457,435,105.28/24,634.08
  6. Step 6: Final answer
    x = 18,569.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.