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Finding the Fourth Proportional to 24,546, 33,873.60 and 13,368

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Solution

The fourth proportional to 24,546, 33,873.60 and 13,368 is: 18,447.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,546 : 33,873.60 = 13,368 : x
  2. Step 2: Convert to fraction form
    24,546/33,873.60 = 13,368/x
  3. Step 3: Cross multiply
    24,546x = 33,873.60 × 13,368
  4. Step 4: Simplify right side
    24,546x = 452,822,284.80
  5. Step 5: Solve for x
    x = 452,822,284.80/24,546
  6. Step 6: Final answer
    x = 18,447.91

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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.