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Finding the Fourth Proportional to 24,578.28, 33,918.12 and 13,400.28

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Solution

The fourth proportional to 24,578.28, 33,918.12 and 13,400.28 is: 18,492.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,578.28 : 33,918.12 = 13,400.28 : x
  2. Step 2: Convert to fraction form
    24,578.28/33,918.12 = 13,400.28/x
  3. Step 3: Cross multiply
    24,578.28x = 33,918.12 × 13,400.28
  4. Step 4: Simplify right side
    24,578.28x = 454,512,305.07
  5. Step 5: Solve for x
    x = 454,512,305.07/24,578.28
  6. Step 6: Final answer
    x = 18,492.44

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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.