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Finding the Fourth Proportional to 24,578.68, 33,918.24 and 13,400.68

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Solution

The fourth proportional to 24,578.68, 33,918.24 and 13,400.68 is: 18,492.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,578.68 : 33,918.24 = 13,400.68 : x
  2. Step 2: Convert to fraction form
    24,578.68/33,918.24 = 13,400.68/x
  3. Step 3: Cross multiply
    24,578.68x = 33,918.24 × 13,400.68
  4. Step 4: Simplify right side
    24,578.68x = 454,527,480.40
  5. Step 5: Solve for x
    x = 454,527,480.40/24,578.68
  6. Step 6: Final answer
    x = 18,492.75

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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.